#include "constantes_gpu.h"


const unsigned int PosNoeudsVariable[24000] ={
/* msg =      0, deg =  6 */    277,    545,   1663,   3331,   3551,   5165, 
/* msg =      1, deg =  6 */   2914,   5865,   6816,   6889,   7719,   7795, 
/* msg =      2, deg =  6 */   2763,   2907,   4562,   4565,   4642,   4931, 
/* msg =      3, deg =  6 */    703,   2160,   3564,   4107,   5389,   6237, 
/* msg =      4, deg =  6 */   1789,   3199,   3324,   4735,   4847,   6917, 
/* msg =      5, deg =  6 */   2203,   2765,   3270,   3635,   5274,   6990, 
/* msg =      6, deg =  6 */   2285,   3521,   3562,   3566,   4130,   7268, 
/* msg =      7, deg =  6 */   3458,   3690,   3967,   5239,   5351,   6586, 
/* msg =      8, deg =  6 */     55,    873,   2172,   2490,   3664,   4145, 
/* msg =      9, deg =  6 */   1309,   1712,   1980,   6636,   6907,   7524, 
/* msg =     10, deg =  6 */    442,   1042,   1188,   3060,   6322,   6324, 
/* msg =     11, deg =  6 */   1398,   3213,   4738,   6310,   6365,   7633, 
/* msg =     12, deg =  6 */    406,    957,   1991,   3779,   7581,   7905, 
/* msg =     13, deg =  6 */   3791,   4562,   4900,   6951,   6959,   7482, 
/* msg =     14, deg =  6 */    135,   1568,   2528,   3430,   5507,   7380, 
/* msg =     15, deg =  6 */    604,   2780,   2973,   4534,   4792,   6720, 
/* msg =     16, deg =  6 */    561,   1076,   4376,   6329,   6970,   7009, 
/* msg =     17, deg =  6 */   1832,   2685,   2878,   3774,   5484,   6222, 
/* msg =     18, deg =  6 */   2124,   3417,   3530,   3703,   4318,   6031, 
/* msg =     19, deg =  6 */    631,   2191,   5210,   5243,   7276,   7308, 
/* msg =     20, deg =  6 */   1458,   3462,   4569,   5671,   6105,   7044, 
/* msg =     21, deg =  6 */    463,   1421,   3263,   5739,   6164,   7144, 
/* msg =     22, deg =  6 */    764,    910,   1390,   2011,   2556,   4352, 
/* msg =     23, deg =  6 */   2319,   3136,   5902,   6032,   6477,   7628, 
/* msg =     24, deg =  6 */    781,   2695,   6216,   7288,   7713,   7839, 
/* msg =     25, deg =  6 */   3314,   5726,   6158,   6399,   6639,   6919, 
/* msg =     26, deg =  6 */    360,   3107,   5524,   5919,   6244,   7749, 
/* msg =     27, deg =  6 */    614,   1245,   3424,   4476,   5385,   7614, 
/* msg =     28, deg =  6 */    117,   1013,   2534,   2608,   5914,   7600, 
/* msg =     29, deg =  6 */    847,   1324,   3251,   3489,   5244,   5617, 
/* msg =     30, deg =  6 */     13,    233,   2894,   3433,   4089,   6956, 
/* msg =     31, deg =  6 */   1148,   1978,   2895,   3023,   4456,   4992, 
/* msg =     32, deg =  6 */    656,   1144,   3872,   4028,   7158,   7393, 
/* msg =     33, deg =  6 */    358,    850,   1497,   4270,   5423,   6808, 
/* msg =     34, deg =  6 */     12,   2186,   2806,   4295,   4620,   5523, 
/* msg =     35, deg =  6 */   1118,   2805,   4946,   5707,   6511,   7263, 
/* msg =     36, deg =  6 */   2423,   3555,   4041,   6404,   7300,   7458, 
/* msg =     37, deg =  6 */   2493,   3068,   3420,   6692,   6903,   7072, 
/* msg =     38, deg =  6 */    253,    578,   5385,   5648,   6958,   7197, 
/* msg =     39, deg =  6 */   1715,   3175,   4141,   4794,   6869,   6907, 
/* msg =     40, deg =  6 */    457,    682,   2221,   2692,   5891,   7519, 
/* msg =     41, deg =  6 */    672,   3671,   3673,   3869,   4963,   5004, 
/* msg =     42, deg =  6 */    140,    814,   3352,   4823,   6344,   7185, 
/* msg =     43, deg =  6 */   1706,   3454,   4769,   5099,   6852,   7606, 
/* msg =     44, deg =  6 */   1802,   4478,   4531,   5497,   6913,   7911, 
/* msg =     45, deg =  6 */    590,   1636,   3962,   5045,   5467,   6722, 
/* msg =     46, deg =  6 */   1088,   1380,   1437,   3487,   4171,   5657, 
/* msg =     47, deg =  6 */    636,   1326,   3409,   4159,   4786,   5484, 
/* msg =     48, deg =  6 */   1761,   2646,   4321,   4852,   5183,   7270, 
/* msg =     49, deg =  6 */   1062,   2437,   3339,   3510,   4174,   5496, 
/* msg =     50, deg =  6 */   2291,   4848,   5763,   7219,   7495,   7961, 
/* msg =     51, deg =  6 */    158,    979,   1718,   3170,   6348,   7528, 
/* msg =     52, deg =  6 */    185,   1775,   2150,   2484,   3282,   5672, 
/* msg =     53, deg =  6 */     46,   2338,   4342,   4836,   7361,   7424, 
/* msg =     54, deg =  6 */     59,   1256,   2950,   3061,   3713,   7965, 
/* msg =     55, deg =  6 */    634,    815,   1531,   4849,   5959,   7290, 
/* msg =     56, deg =  6 */    765,   1276,   2016,   4230,   5375,   5734, 
/* msg =     57, deg =  6 */   1255,   2190,   2254,   4213,   4780,   7215, 
/* msg =     58, deg =  6 */   1522,   3766,   3799,   6178,   6223,   6728, 
/* msg =     59, deg =  6 */     83,    372,   1313,   2226,   5250,   5872, 
/* msg =     60, deg =  6 */    392,   1294,   2431,   2694,   4464,   7581, 
/* msg =     61, deg =  6 */    254,    904,   3732,   3965,   4089,   4563, 
/* msg =     62, deg =  6 */    829,   1274,   2870,   3386,   3708,   3711, 
/* msg =     63, deg =  6 */    828,   1736,   2623,   3257,   3607,   7283, 
/* msg =     64, deg =  6 */      6,     25,    650,   2114,   3585,   5219, 
/* msg =     65, deg =  6 */    363,   3138,   4214,   4702,   5171,   6522, 
/* msg =     66, deg =  6 */   2295,   3835,   4215,   4263,   4549,   7121, 
/* msg =     67, deg =  6 */   1926,   2820,   4561,   5407,   6897,   7564, 
/* msg =     68, deg =  6 */    569,    635,   4103,   5170,   5474,   7033, 
/* msg =     69, deg =  6 */   1014,   1453,   2857,   5111,   7108,   7516, 
/* msg =     70, deg =  6 */    364,    786,   1115,   1531,   3954,   4532, 
/* msg =     71, deg =  6 */     84,   2765,   4068,   6492,   6727,   6964, 
/* msg =     72, deg =  6 */    553,   2147,   3376,   4221,   4395,   7180, 
/* msg =     73, deg =  6 */     90,    155,    528,    863,   6959,   7928, 
/* msg =     74, deg =  6 */     53,   1961,   5980,   6020,   6317,   7227, 
/* msg =     75, deg =  6 */   1574,   3294,   4453,   4773,   6595,   7871, 
/* msg =     76, deg =  6 */    704,   1107,   1163,   1254,   1830,   3489, 
/* msg =     77, deg =  6 */    934,   2537,   4774,   4936,   5985,   6902, 
/* msg =     78, deg =  6 */      2,   2483,   5379,   5458,   6677,   7814, 
/* msg =     79, deg =  6 */   1053,   1086,   1427,   2357,   3756,   5941, 
/* msg =     80, deg =  6 */    922,   1291,   2467,   4131,   4572,   5676, 
/* msg =     81, deg =  6 */   2780,   3617,   4024,   4658,   4799,   7075, 
/* msg =     82, deg =  6 */   1827,   3018,   5302,   5966,   6314,   7326, 
/* msg =     83, deg =  6 */    359,   1163,   2969,   4177,   4184,   5438, 
/* msg =     84, deg =  6 */    956,   1562,   2503,   2968,   4093,   4887, 
/* msg =     85, deg =  6 */    721,    931,   2144,   3230,   4175,   4447, 
/* msg =     86, deg =  6 */   1086,   1293,   3438,   5130,   6122,   7046, 
/* msg =     87, deg =  6 */   1668,   3442,   4413,   4876,   5317,   7379, 
/* msg =     88, deg =  6 */    836,   1374,   1859,   2736,   4440,   6090, 
/* msg =     89, deg =  6 */   1504,   1590,   3131,   3522,   4697,   6867, 
/* msg =     90, deg =  6 */    144,    477,   2085,   2333,   2669,   3044, 
/* msg =     91, deg =  6 */   3624,   4033,   4073,   5221,   6267,   7653, 
/* msg =     92, deg =  6 */   1654,   2137,   2341,   6014,   7369,   7797, 
/* msg =     93, deg =  6 */     52,    706,   1646,   3784,   4332,   4540, 
/* msg =     94, deg =  6 */   1687,   1977,   3193,   4727,   4932,   6860, 
/* msg =     95, deg =  6 */   1917,   3565,   3702,   4955,   5237,   7914, 
/* msg =     96, deg =  6 */   1784,   1853,   1978,   3069,   3777,   6326, 
/* msg =     97, deg =  6 */   1307,   1360,   3755,   4781,   7663,   7801, 
/* msg =     98, deg =  6 */   2101,   3354,   4704,   5034,   7859,   7873, 
/* msg =     99, deg =  6 */    859,   1881,   3168,   4396,   6369,   7262, 
/* msg =    100, deg =  6 */   1570,   1931,   2285,   2866,   4553,   7151, 
/* msg =    101, deg =  6 */   2332,   4391,   4443,   4523,   5507,   7454, 
/* msg =    102, deg =  6 */    795,   3296,   6087,   7045,   7138,   7721, 
/* msg =    103, deg =  6 */   4514,   5355,   5363,   5746,   6913,   7919, 
/* msg =    104, deg =  6 */    762,   1184,   1982,   2968,   5867,   6061, 
/* msg =    105, deg =  6 */   2509,   5010,   5143,   5206,   6477,   6752, 
/* msg =    106, deg =  6 */    323,    617,   2716,   3618,   6051,   7287, 
/* msg =    107, deg =  6 */    215,   1482,   4998,   6320,   6402,   6849, 
/* msg =    108, deg =  6 */    521,   3384,   4979,   5957,   6718,   6953, 
/* msg =    109, deg =  6 */    536,   1265,   2668,   4024,   5787,   7612, 
/* msg =    110, deg =  6 */     85,    572,   5880,   6785,   7472,   7763, 
/* msg =    111, deg =  6 */    202,   3724,   4810,   6723,   7409,   7826, 
/* msg =    112, deg =  6 */    122,    129,    343,   1237,   1262,   2941, 
/* msg =    113, deg =  6 */   1334,   2119,   3994,   6315,   6335,   6633, 
/* msg =    114, deg =  6 */    727,   1605,   1912,   2339,   2668,   3144, 
/* msg =    115, deg =  6 */    722,   4070,   4452,   7752,   7821,   7888, 
/* msg =    116, deg =  6 */   2279,   2833,   3041,   4559,   6424,   6779, 
/* msg =    117, deg =  6 */    442,    819,   1835,   5821,   6214,   6981, 
/* msg =    118, deg =  6 */   1123,   1898,   2782,   3596,   5113,   5784, 
/* msg =    119, deg =  6 */    334,   3884,   4737,   5101,   6902,   7332, 
/* msg =    120, deg =  6 */    535,   2599,   6080,   6271,   6432,   7563, 
/* msg =    121, deg =  6 */    652,   1342,   2588,   5136,   5502,   6495, 
/* msg =    122, deg =  6 */   2752,   4433,   4719,   5230,   5538,   7458, 
/* msg =    123, deg =  6 */     63,   2490,   2656,   4602,   4898,   7225, 
/* msg =    124, deg =  6 */    390,   1318,   2069,   5594,   5992,   6727, 
/* msg =    125, deg =  6 */    706,   1828,   3742,   3793,   5838,   6031, 
/* msg =    126, deg =  6 */    492,   3460,   4218,   5057,   6086,   6714, 
/* msg =    127, deg =  6 */    162,   1905,   3168,   3378,   3694,   5167, 
/* msg =    128, deg =  6 */    586,   2345,   2961,   4462,   6030,   7115, 
/* msg =    129, deg =  6 */   1134,   2280,   2818,   3933,   5175,   6374, 
/* msg =    130, deg =  6 */   1496,   2086,   4292,   5975,   6614,   6762, 
/* msg =    131, deg =  6 */   1356,   3014,   3204,   3684,   6112,   6240, 
/* msg =    132, deg =  6 */   1075,   1629,   3546,   4578,   6669,   7327, 
/* msg =    133, deg =  6 */    317,   2203,   3295,   4258,   4865,   7613, 
/* msg =    134, deg =  6 */   2477,   2498,   2717,   3213,   3260,   4827, 
/* msg =    135, deg =  6 */   1115,   4863,   6051,   6218,   7161,   7372, 
/* msg =    136, deg =  6 */    179,   2474,   3803,   3930,   4011,   6302, 
/* msg =    137, deg =  6 */   1282,   2672,   3269,   5233,   5909,   6702, 
/* msg =    138, deg =  6 */   1325,   3058,   5600,   6145,   6976,   7126, 
/* msg =    139, deg =  6 */   2729,   3910,   5436,   6912,   7443,   7530, 
/* msg =    140, deg =  6 */    667,   2199,   3642,   4506,   5609,   6269, 
/* msg =    141, deg =  6 */   2225,   3527,   3531,   5596,   6012,   7916, 
/* msg =    142, deg =  6 */   1805,   6276,   6389,   7151,   7348,   7392, 
/* msg =    143, deg =  6 */   1165,   1389,   2586,   2853,   7267,   7416, 
/* msg =    144, deg =  6 */    613,   1130,   1412,   2818,   5503,   7850, 
/* msg =    145, deg =  6 */   1112,   2064,   3626,   4317,   7421,   7867, 
/* msg =    146, deg =  6 */    258,   2557,   3211,   4470,   6201,   6548, 
/* msg =    147, deg =  6 */    455,   4218,   4873,   6063,   6280,   7810, 
/* msg =    148, deg =  6 */    349,   1395,   1570,   5350,   5712,   7145, 
/* msg =    149, deg =  6 */    406,   1882,   4410,   4939,   7809,   7978, 
/* msg =    150, deg =  6 */   2761,   4281,   5882,   7399,   7452,   7564, 
/* msg =    151, deg =  6 */   1415,   1935,   2123,   2843,   3504,   7040, 
/* msg =    152, deg =  6 */   1297,   3396,   5762,   6079,   6089,   7223, 
/* msg =    153, deg =  6 */    561,    881,   1407,   3961,   4298,   4747, 
/* msg =    154, deg =  6 */   1742,   3325,   4831,   5160,   5567,   6555, 
/* msg =    155, deg =  6 */   3334,   4455,   4907,   5314,   5454,   6885, 
/* msg =    156, deg =  6 */   2590,   2948,   3575,   3947,   6304,   7407, 
/* msg =    157, deg =  6 */    726,   1600,   3931,   5980,   6236,   6846, 
/* msg =    158, deg =  6 */   1959,   2564,   3336,   3683,   4451,   7053, 
/* msg =    159, deg =  6 */    496,   2308,   3696,   4345,   4687,   6584, 
/* msg =    160, deg =  6 */   2689,   5412,   5942,   5972,   7047,   7304, 
/* msg =    161, deg =  6 */   1220,   2872,   3289,   6429,   6532,   7408, 
/* msg =    162, deg =  6 */    320,   3905,   5825,   6007,   6398,   6947, 
/* msg =    163, deg =  6 */   1355,   1596,   2164,   3676,   6094,   7987, 
/* msg =    164, deg =  6 */    491,   2082,   2640,   4553,   5896,   7805, 
/* msg =    165, deg =  6 */    994,   1437,   3063,   6960,   7250,   7478, 
/* msg =    166, deg =  6 */   3521,   4747,   5084,   5093,   7013,   7054, 
/* msg =    167, deg =  6 */    920,   1670,   4672,   6165,   6553,   7362, 
/* msg =    168, deg =  6 */   2317,   2808,   2852,   3746,   5680,   7218, 
/* msg =    169, deg =  6 */   1844,   1975,   3629,   3862,   7403,   7976, 
/* msg =    170, deg =  6 */   1425,   2362,   2879,   5492,   5640,   7597, 
/* msg =    171, deg =  6 */   2576,   3059,   4829,   5023,   7833,   7847, 
/* msg =    172, deg =  6 */    924,   2288,   3886,   6196,   6550,   6977, 
/* msg =    173, deg =  6 */    309,    473,    580,    995,   2980,   7611, 
/* msg =    174, deg =  6 */    141,    668,   1090,   4669,   5828,   6278, 
/* msg =    175, deg =  6 */    788,   1821,   3057,   4721,   4980,   5791, 
/* msg =    176, deg =  6 */   4439,   4503,   4631,   4994,   6025,   7701, 
/* msg =    177, deg =  6 */   1768,   1784,   4372,   4792,   5437,   5725, 
/* msg =    178, deg =  6 */    597,    848,   2442,   5109,   5706,   5936, 
/* msg =    179, deg =  6 */   1647,   2261,   2641,   3825,   5239,   6638, 
/* msg =    180, deg =  6 */    858,   3673,   3984,   4164,   5327,   7519, 
/* msg =    181, deg =  6 */    412,   1370,   2883,   5064,   6007,   6713, 
/* msg =    182, deg =  6 */    436,   1731,   4718,   5206,   6245,   6745, 
/* msg =    183, deg =  6 */    572,   3806,   4206,   4357,   5528,   7293, 
/* msg =    184, deg =  6 */   1279,   1633,   2289,   2859,   3842,   6645, 
/* msg =    185, deg =  6 */   1922,   2826,   3472,   4916,   5133,   6180, 
/* msg =    186, deg =  6 */   1116,   1410,   3607,   3993,   4470,   5252, 
/* msg =    187, deg =  6 */    394,   1418,   4790,   5636,   5849,   7097, 
/* msg =    188, deg =  6 */   1716,   2102,   5571,   7357,   7490,   7735, 
/* msg =    189, deg =  6 */    143,    163,    222,   5542,   5790,   7943, 
/* msg =    190, deg =  6 */    531,    990,   1248,   1894,   4769,   7948, 
/* msg =    191, deg =  6 */    955,   1924,   3207,   3890,   6646,   7828, 
/* msg =    192, deg =  6 */    427,   1022,   2385,   3178,   6341,   6830, 
/* msg =    193, deg =  6 */   3647,   3760,   4851,   6363,   7447,   7958, 
/* msg =    194, deg =  6 */    738,   2891,   3132,   3156,   4925,   5186, 
/* msg =    195, deg =  6 */   4142,   4855,   5552,   5605,   6803,   7940, 
/* msg =    196, deg =  6 */     38,   1249,   1815,   2605,   4087,   5497, 
/* msg =    197, deg =  6 */    865,   2083,   5098,   5718,   6082,   7950, 
/* msg =    198, deg =  6 */   1922,   1947,   2100,   3116,   6365,   6628, 
/* msg =    199, deg =  6 */    227,   1327,   1863,   3519,   4303,   4361, 
/* msg =    200, deg =  6 */    337,   1303,   2650,   3428,   5681,   6974, 
/* msg =    201, deg =  6 */    272,   1697,   4333,   4896,   5696,   7798, 
/* msg =    202, deg =  6 */   1102,   4369,   5495,   5699,   5714,   6528, 
/* msg =    203, deg =  6 */    164,   1704,   2212,   2725,   3396,   4891, 
/* msg =    204, deg =  6 */   2647,   2801,   3454,   3986,   4208,   7087, 
/* msg =    205, deg =  6 */   1780,   3545,   5172,   5324,   5678,   7147, 
/* msg =    206, deg =  6 */   1295,   1451,   1478,   2141,   3424,   4719, 
/* msg =    207, deg =  6 */    400,   1343,   2822,   3721,   5804,   7979, 
/* msg =    208, deg =  6 */    659,   1305,   1432,   4351,   4415,   6643, 
/* msg =    209, deg =  6 */    949,   4548,   4655,   5304,   5754,   7838, 
/* msg =    210, deg =  6 */   1293,   1801,   1820,   1837,   3928,   5853, 
/* msg =    211, deg =  6 */    224,    938,   3033,   3800,   4566,   5291, 
/* msg =    212, deg =  6 */    457,    812,   2519,   5226,   6683,   7965, 
/* msg =    213, deg =  6 */    546,    756,    840,   2406,   2913,   3286, 
/* msg =    214, deg =  6 */    409,   2648,   3375,   4909,   6793,   7154, 
/* msg =    215, deg =  6 */   3385,   3925,   4095,   4618,   5140,   6012, 
/* msg =    216, deg =  6 */    362,   2803,   3951,   4212,   4945,   7398, 
/* msg =    217, deg =  6 */    419,    638,    834,   1211,   4052,   6441, 
/* msg =    218, deg =  6 */   1943,   2522,   2987,   4317,   5287,   6182, 
/* msg =    219, deg =  6 */    374,   1868,   1992,   4704,   5545,   6391, 
/* msg =    220, deg =  6 */     37,   2332,   3037,   3085,   3301,   5266, 
/* msg =    221, deg =  6 */   1609,   2699,   3532,   6852,   7353,   7860, 
/* msg =    222, deg =  6 */   2935,   3455,   4978,   5812,   6276,   6566, 
/* msg =    223, deg =  6 */    279,    349,   2294,   3086,   4157,   6114, 
/* msg =    224, deg =  6 */   1324,   4426,   4769,   4817,   4890,   7663, 
/* msg =    225, deg =  6 */   3108,   3752,   3899,   4146,   6463,   7824, 
/* msg =    226, deg =  6 */    183,   1770,   3062,   4211,   6063,   7315, 
/* msg =    227, deg =  6 */    399,   1655,   1891,   2799,   5034,   6263, 
/* msg =    228, deg =  6 */    827,    867,   1527,   4843,   5723,   7438, 
/* msg =    229, deg =  6 */   2060,   4762,   4969,   6502,   6878,   7875, 
/* msg =    230, deg =  6 */   2712,   2797,   4085,   4481,   6568,   7374, 
/* msg =    231, deg =  6 */    113,   1280,   1796,   3461,   4266,   7694, 
/* msg =    232, deg =  6 */    993,   2187,   3877,   4081,   4999,   7192, 
/* msg =    233, deg =  6 */    590,    713,   2934,   3656,   5177,   5813, 
/* msg =    234, deg =  6 */    497,   3919,   4958,   5950,   6416,   7571, 
/* msg =    235, deg =  6 */   2162,   3627,   4962,   6683,   7673,   7839, 
/* msg =    236, deg =  6 */     32,   4751,   5769,   6160,   6330,   7706, 
/* msg =    237, deg =  6 */   1240,   1653,   2702,   4113,   6771,   7058, 
/* msg =    238, deg =  6 */    832,   1356,   2188,   3440,   5891,   7510, 
/* msg =    239, deg =  6 */    734,   1071,   3999,   4852,   5767,   7903, 
/* msg =    240, deg =  6 */   1327,   2825,   4333,   5829,   6004,   6045, 
/* msg =    241, deg =  6 */   1699,   3049,   3435,   4831,   5010,   7461, 
/* msg =    242, deg =  6 */   1002,   1714,   2977,   3605,   4654,   7549, 
/* msg =    243, deg =  6 */    438,   1675,   2412,   2426,   3548,   5591, 
/* msg =    244, deg =  6 */    750,   2238,   4133,   4851,   5367,   7673, 
/* msg =    245, deg =  6 */    552,    685,    947,   1649,   3450,   6006, 
/* msg =    246, deg =  6 */    474,   1345,   1767,   5529,   6805,   7565, 
/* msg =    247, deg =  6 */    306,    436,   1018,   3498,   3715,   6581, 
/* msg =    248, deg =  6 */    622,   2562,   4485,   6364,   6724,   7659, 
/* msg =    249, deg =  6 */   1421,   3881,   4190,   5184,   6172,   7271, 
/* msg =    250, deg =  6 */   1037,   3124,   3405,   4701,   5083,   7871, 
/* msg =    251, deg =  6 */   1688,   2022,   2901,   4630,   6708,   7701, 
/* msg =    252, deg =  6 */    864,   4383,   6160,   6460,   6606,   7880, 
/* msg =    253, deg =  6 */   3861,   4368,   4987,   5400,   7260,   7494, 
/* msg =    254, deg =  6 */   1945,   2618,   5492,   6386,   6815,   7449, 
/* msg =    255, deg =  6 */    736,   1538,   2967,   5087,   5384,   5612, 
/* msg =    256, deg =  6 */    242,    249,   3661,   6480,   7477,   7530, 
/* msg =    257, deg =  6 */   1710,   2012,   4733,   5505,   6742,   6915, 
/* msg =    258, deg =  6 */    377,   2158,   4153,   4178,   4486,   6039, 
/* msg =    259, deg =  6 */   2432,   6367,   6663,   7726,   7780,   7846, 
/* msg =    260, deg =  6 */      3,   2252,   6280,   6364,   7782,   7832, 
/* msg =    261, deg =  6 */    428,    792,   2628,   3361,   3503,   5030, 
/* msg =    262, deg =  6 */   1314,   1540,   4283,   5313,   6224,   7753, 
/* msg =    263, deg =  6 */   2635,   6214,   6308,   6494,   7953,   7987, 
/* msg =    264, deg =  6 */    997,   1804,   4028,   6037,   7142,   7554, 
/* msg =    265, deg =  6 */   1602,   2549,   3024,   3252,   6542,   7439, 
/* msg =    266, deg =  6 */   1118,   1802,   5745,   6123,   6274,   6756, 
/* msg =    267, deg =  6 */    846,   1542,   3007,   5208,   6305,   6473, 
/* msg =    268, deg =  6 */     46,     95,    503,   1149,   5115,   6750, 
/* msg =    269, deg =  6 */    524,   1223,   2224,   5669,   6961,   7531, 
/* msg =    270, deg =  6 */    104,    172,    206,   1135,   2382,   5761, 
/* msg =    271, deg =  6 */    211,   1329,   4416,   4457,   5787,   7196, 
/* msg =    272, deg =  6 */   2614,   3261,   3428,   4450,   5725,   6335, 
/* msg =    273, deg =  6 */   3502,   4771,   5345,   5352,   7435,   7937, 
/* msg =    274, deg =  6 */   2274,   2891,   2933,   3758,   4046,   5712, 
/* msg =    275, deg =  6 */    789,   1430,   2119,   5941,   6466,   7827, 
/* msg =    276, deg =  6 */    746,   3030,   3400,   4890,   7235,   7981, 
/* msg =    277, deg =  6 */     95,   2378,   3418,   4643,   6567,   7537, 
/* msg =    278, deg =  6 */    774,   2625,   4195,   7354,   7465,   7676, 
/* msg =    279, deg =  6 */   1829,   3081,   4129,   4556,   6982,   7455, 
/* msg =    280, deg =  6 */    651,   2738,   4377,   4535,   6375,   7644, 
/* msg =    281, deg =  6 */    626,    653,   1885,   2995,   4856,   5557, 
/* msg =    282, deg =  6 */   1012,   1401,   3477,   3909,   4376,   7838, 
/* msg =    283, deg =  6 */   2560,   3133,   6571,   6593,   6926,   7070, 
/* msg =    284, deg =  6 */    911,   5485,   6503,   7181,   7579,   7794, 
/* msg =    285, deg =  6 */    224,    423,    868,   4353,   4755,   6954, 
/* msg =    286, deg =  6 */   1534,   2732,   5364,   6549,   6605,   7932, 
/* msg =    287, deg =  6 */    796,   1621,   1940,   2660,   5544,   6350, 
/* msg =    288, deg =  6 */   1022,   2597,   4778,   4993,   5545,   5974, 
/* msg =    289, deg =  6 */   1470,   1983,   3212,   3624,   5453,   6111, 
/* msg =    290, deg =  6 */    377,   3674,   4497,   4915,   7317,   7369, 
/* msg =    291, deg =  6 */    972,   1671,   1935,   4406,   4841,   5077, 
/* msg =    292, deg =  6 */    434,   1398,   1515,   2322,   3749,   4250, 
/* msg =    293, deg =  6 */    458,   2101,   4649,   6277,   6643,   6743, 
/* msg =    294, deg =  6 */   2340,   5174,   5204,   5728,   6389,   7672, 
/* msg =    295, deg =  6 */   4818,   5629,   5729,   6470,   6999,   7088, 
/* msg =    296, deg =  6 */   1449,   2801,   2853,   3629,   5648,   5854, 
/* msg =    297, deg =  6 */   1930,   2142,   2932,   3948,   6225,   6670, 
/* msg =    298, deg =  6 */    832,   2733,   4803,   4959,   5820,   6923, 
/* msg =    299, deg =  6 */    339,   1014,   1367,   3359,   6233,   7801, 
/* msg =    300, deg =  6 */   1733,   2731,   3588,   5694,   5723,   7320, 
/* msg =    301, deg =  6 */   2117,   2358,   2717,   3275,   6287,   7805, 
/* msg =    302, deg =  6 */   2653,   2846,   4027,   6649,   6812,   7383, 
/* msg =    303, deg =  6 */   1726,   3963,   4160,   4438,   6147,   7859, 
/* msg =    304, deg =  6 */    919,   1544,   2266,   4097,   6822,   7274, 
/* msg =    305, deg =  6 */    471,   2472,   3300,   3388,   4393,   6082, 
/* msg =    306, deg =  6 */    408,   1380,   1621,   4321,   4917,   6116, 
/* msg =    307, deg =  6 */     63,    377,    501,    652,   3762,   5309, 
/* msg =    308, deg =  6 */   1547,   2505,   2889,   4970,   5418,   5924, 
/* msg =    309, deg =  6 */   1186,   2435,   2651,   5915,   7427,   7442, 
/* msg =    310, deg =  6 */   1939,   2451,   3707,   6612,   6874,   7065, 
/* msg =    311, deg =  6 */    283,   2772,   3308,   3470,   4358,   4533, 
/* msg =    312, deg =  6 */    252,   1610,   2016,   3898,   4446,   5249, 
/* msg =    313, deg =  6 */    941,   1618,   3183,   3219,   3221,   4901, 
/* msg =    314, deg =  6 */    564,    905,   1724,   2323,   4019,   5246, 
/* msg =    315, deg =  6 */   5280,   5738,   5932,   7217,   7218,   7355, 
/* msg =    316, deg =  6 */   1509,   2672,   4467,   5268,   6240,   7180, 
/* msg =    317, deg =  6 */   1103,   1325,   1797,   5037,   7667,   7690, 
/* msg =    318, deg =  6 */     14,    566,   2759,   3712,   4840,   7265, 
/* msg =    319, deg =  6 */   1074,   3823,   4815,   6195,   6883,   6970, 
/* msg =    320, deg =  6 */   1498,   2776,   5176,   5729,   6261,   7473, 
/* msg =    321, deg =  6 */    767,   1359,   1940,   2158,   6776,   7622, 
/* msg =    322, deg =  6 */   1298,   2690,   4582,   6127,   7454,   7526, 
/* msg =    323, deg =  6 */    358,   1596,   1684,   1846,   2749,   2907, 
/* msg =    324, deg =  6 */    509,   2242,   2554,   3527,   4647,   7737, 
/* msg =    325, deg =  6 */     10,    323,   1872,   1887,   3387,   7594, 
/* msg =    326, deg =  6 */    180,   1760,   2159,   4722,   7573,   7964, 
/* msg =    327, deg =  6 */   1174,   1402,   2517,   2843,   3908,   6978, 
/* msg =    328, deg =  6 */   2123,   2548,   4015,   5158,   5949,   6485, 
/* msg =    329, deg =  6 */   2840,   3152,   3818,   6499,   6649,   6695, 
/* msg =    330, deg =  6 */    639,   2561,   3648,   6318,   6346,   6821, 
/* msg =    331, deg =  6 */    640,   1764,   2493,   5038,   5831,   6658, 
/* msg =    332, deg =  6 */    943,   1893,   2085,   2507,   4764,   5112, 
/* msg =    333, deg =  6 */   1811,   4529,   5658,   5944,   6866,   6972, 
/* msg =    334, deg =  6 */   1658,   5592,   5737,   5807,   5828,   6535, 
/* msg =    335, deg =  6 */    242,   2849,   4864,   5471,   5730,   5840, 
/* msg =    336, deg =  6 */     16,    575,   1589,   1593,   4945,   7261, 
/* msg =    337, deg =  6 */     38,   1232,   2900,   5548,   6097,   6324, 
/* msg =    338, deg =  6 */    450,    671,   4243,   5780,   6129,   7487, 
/* msg =    339, deg =  6 */    160,    586,   2497,   2508,   4286,   6417, 
/* msg =    340, deg =  6 */    629,   1540,   1643,   4627,   4768,   4854, 
/* msg =    341, deg =  6 */   1229,   2659,   3191,   4793,   4946,   5320, 
/* msg =    342, deg =  6 */   2698,   4058,   4468,   5295,   5880,   7298, 
/* msg =    343, deg =  6 */    290,   1419,   1730,   3035,   4510,   7335, 
/* msg =    344, deg =  6 */    616,   1278,   5279,   6273,   6337,   6660, 
/* msg =    345, deg =  6 */   1903,   3283,   3893,   4124,   4901,   6265, 
/* msg =    346, deg =  6 */     19,   3381,   3501,   3728,   6026,   6094, 
/* msg =    347, deg =  6 */    779,   1880,   2138,   4595,   6665,   6944, 
/* msg =    348, deg =  6 */    426,   2037,   3661,   4220,   6382,   7840, 
/* msg =    349, deg =  6 */    923,   1408,   1518,   5317,   7155,   7820, 
/* msg =    350, deg =  6 */   1211,   1512,   1581,   3689,   6411,   7632, 
/* msg =    351, deg =  6 */    333,    687,   1739,   2045,   3549,   7756, 
/* msg =    352, deg =  6 */   2314,   2665,   2759,   4299,   6362,   6872, 
/* msg =    353, deg =  6 */    566,   4292,   5120,   7227,   7748,   7966, 
/* msg =    354, deg =  6 */    768,   1486,   1676,   1721,   2162,   6598, 
/* msg =    355, deg =  6 */    302,   1934,   4488,   5359,   7197,   7857, 
/* msg =    356, deg =  6 */   1614,   3798,   4589,   5547,   7690,   7902, 
/* msg =    357, deg =  6 */   1814,   2269,   4253,   5973,   6081,   7131, 
/* msg =    358, deg =  6 */    744,   2743,   3557,   3611,   4383,   4967, 
/* msg =    359, deg =  6 */    491,   2714,   2770,   4010,   5069,   6042, 
/* msg =    360, deg =  6 */   1837,   1870,   2756,   5060,   7180,   7471, 
/* msg =    361, deg =  6 */     64,   3631,   5032,   5764,   6488,   6730, 
/* msg =    362, deg =  6 */    589,   2372,   2513,   2943,   5658,   6592, 
/* msg =    363, deg =  6 */   1510,   5954,   6119,   6672,   6976,   7969, 
/* msg =    364, deg =  6 */    591,    673,   1728,   2232,   5961,   6270, 
/* msg =    365, deg =  6 */   1418,   2154,   6723,   7297,   7732,   7982, 
/* msg =    366, deg =  6 */   1215,   1585,   2384,   2895,   7405,   7609, 
/* msg =    367, deg =  6 */   1170,   2118,   2439,   3914,   4771,   5223, 
/* msg =    368, deg =  6 */     58,   1132,   5766,   6057,   6103,   6665, 
/* msg =    369, deg =  6 */    798,   3003,   5205,   5692,   5907,   6485, 
/* msg =    370, deg =  6 */    657,    724,   3754,   6075,   6957,   7993, 
/* msg =    371, deg =  6 */    581,   1747,   3026,   4743,   5207,   7607, 
/* msg =    372, deg =  6 */   3911,   3916,   4970,   5750,   6122,   7598, 
/* msg =    373, deg =  6 */   1131,   2985,   5666,   5795,   6934,   7128, 
/* msg =    374, deg =  6 */    145,    769,   1605,   4665,   5262,   5833, 
/* msg =    375, deg =  6 */   1744,   3123,   6550,   6640,   7532,   7819, 
/* msg =    376, deg =  6 */    236,    511,    883,   1583,   2504,   6667, 
/* msg =    377, deg =  6 */    461,   1280,   1653,   2071,   2891,   5454, 
/* msg =    378, deg =  6 */   1356,   1830,   2004,   3214,   7189,   7539, 
/* msg =    379, deg =  6 */    402,    545,   2206,   2637,   4661,   7708, 
/* msg =    380, deg =  6 */    341,    523,    900,   1810,   2998,   5216, 
/* msg =    381, deg =  6 */   1309,   1435,   4496,   4716,   7119,   7879, 
/* msg =    382, deg =  6 */    476,   3201,   4000,   4754,   6158,   7296, 
/* msg =    383, deg =  6 */    322,   2131,   2209,   2602,   4962,   7464, 
/* msg =    384, deg =  6 */   1235,   1766,   2934,   3441,   5362,   5611, 
/* msg =    385, deg =  6 */    664,   3902,   4513,   4628,   5044,   6551, 
/* msg =    386, deg =  6 */   1140,   2277,   2579,   3453,   5108,   7540, 
/* msg =    387, deg =  6 */    746,   3330,   4484,   5118,   5171,   7232, 
/* msg =    388, deg =  6 */    779,   1842,   2392,   4967,   5608,   6279, 
/* msg =    389, deg =  6 */   1648,   2677,   4067,   4840,   5623,   7725, 
/* msg =    390, deg =  6 */   2021,   2501,   3856,   4912,   6258,   6586, 
/* msg =    391, deg =  6 */   2078,   3066,   4636,   5337,   6615,   6860, 
/* msg =    392, deg =  6 */    437,   2569,   3209,   5043,   5876,   6807, 
/* msg =    393, deg =  6 */    879,   2366,   4264,   5308,   5852,   5989, 
/* msg =    394, deg =  6 */   2046,   2094,   2643,   5699,   7203,   7721, 
/* msg =    395, deg =  6 */   1248,   2184,   2533,   3869,   5886,   6172, 
/* msg =    396, deg =  6 */   1161,   1354,   2452,   4267,   5041,   6729, 
/* msg =    397, deg =  6 */    459,    469,   1164,   1465,   4664,   7433, 
/* msg =    398, deg =  6 */   1584,   4759,   5047,   6303,   7386,   7531, 
/* msg =    399, deg =  6 */    752,   1465,   1985,   2618,   4025,   6708, 
/* msg =    400, deg =  6 */   1135,   4329,   4733,   6487,   6543,   7184, 
/* msg =    401, deg =  6 */    300,   1359,   2264,   3867,   5094,   5527, 
/* msg =    402, deg =  6 */    868,   1134,   2189,   2673,   5048,   6351, 
/* msg =    403, deg =  6 */   3026,   3206,   4474,   5281,   6911,   6989, 
/* msg =    404, deg =  6 */    131,   1455,   1457,   2610,   3042,   3084, 
/* msg =    405, deg =  6 */   1714,   2249,   3702,   3863,   5040,   7594, 
/* msg =    406, deg =  6 */    338,   2173,   3478,   5688,   6072,   7617, 
/* msg =    407, deg =  6 */    119,    140,   1221,   3862,   4176,   5565, 
/* msg =    408, deg =  6 */    149,    861,   1225,   3339,   4767,   6693, 
/* msg =    409, deg =  6 */     75,   2170,   3340,   3844,   4739,   7447, 
/* msg =    410, deg =  6 */     67,    961,   3501,   4726,   5500,   7382, 
/* msg =    411, deg =  6 */    278,   1362,   4066,   4544,   5829,   7909, 
/* msg =    412, deg =  6 */   2518,   2633,   2978,   4538,   6174,   7445, 
/* msg =    413, deg =  6 */   2153,   2455,   4467,   5654,   6571,   7187, 
/* msg =    414, deg =  6 */    586,   2076,   2822,   3401,   4303,   5993, 
/* msg =    415, deg =  6 */    624,   1286,   3903,   5062,   5420,   7848, 
/* msg =    416, deg =  6 */    713,   1442,   3795,   6214,   6896,   7482, 
/* msg =    417, deg =  6 */    666,   2757,   2958,   4439,   4522,   6273, 
/* msg =    418, deg =  6 */    814,   1705,   1839,   2448,   3395,   4060, 
/* msg =    419, deg =  6 */   1364,   1422,   3028,   3310,   4345,   7236, 
/* msg =    420, deg =  6 */    382,   2571,   2742,   3999,   5815,   6765, 
/* msg =    421, deg =  6 */   3940,   5201,   5432,   5757,   7133,   7874, 
/* msg =    422, deg =  6 */     65,   1669,   2088,   3550,   3627,   3825, 
/* msg =    423, deg =  6 */    164,    488,   1444,   2501,   4221,   7944, 
/* msg =    424, deg =  6 */   1888,   2182,   2630,   3220,   6795,   7593, 
/* msg =    425, deg =  6 */    540,   1555,   2005,   3557,   3924,   7006, 
/* msg =    426, deg =  6 */    421,   2938,   4484,   4925,   5417,   6890, 
/* msg =    427, deg =  6 */    492,   3070,   3365,   3781,   5145,   5554, 
/* msg =    428, deg =  6 */    950,   1828,   3201,   3413,   5404,   7925, 
/* msg =    429, deg =  6 */    802,    991,   3632,   4595,   4934,   5165, 
/* msg =    430, deg =  6 */   2657,   6057,   6686,   6908,   7200,   7705, 
/* msg =    431, deg =  6 */    205,   2788,   3966,   4114,   5531,   6018, 
/* msg =    432, deg =  6 */    435,    688,   4349,   4655,   5081,   7350, 
/* msg =    433, deg =  6 */   2638,   3027,   3780,   4360,   7516,   7541, 
/* msg =    434, deg =  6 */   2189,   2360,   3617,   5545,   5854,   6561, 
/* msg =    435, deg =  6 */    987,   2741,   4809,   6333,   6640,   7054, 
/* msg =    436, deg =  6 */   1761,   2012,   2862,   4254,   4365,   5131, 
/* msg =    437, deg =  6 */    790,   2364,   3574,   5752,   6558,   7095, 
/* msg =    438, deg =  6 */    732,   1785,   3634,   4150,   6089,   6681, 
/* msg =    439, deg =  6 */     13,   3324,   6310,   6860,   7074,   7829, 
/* msg =    440, deg =  6 */   1208,   4352,   5443,   6043,   6882,   7103, 
/* msg =    441, deg =  6 */   1028,   1638,   4330,   5128,   5516,   7208, 
/* msg =    442, deg =  6 */   1368,   1393,   3765,   4085,   4300,   5690, 
/* msg =    443, deg =  6 */    471,   3012,   3170,   6139,   7194,   7555, 
/* msg =    444, deg =  6 */    805,   1448,   3101,   3147,   5073,   5093, 
/* msg =    445, deg =  6 */   1661,   2933,   4162,   4546,   6319,   6961, 
/* msg =    446, deg =  6 */    534,   1841,   4340,   4498,   6965,   7139, 
/* msg =    447, deg =  6 */   1189,   1794,   2810,   3998,   5321,   5707, 
/* msg =    448, deg =  6 */    262,   1112,   2116,   5804,   7193,   7764, 
/* msg =    449, deg =  6 */    681,    736,   1016,   4745,   5749,   7443, 
/* msg =    450, deg =  6 */   2790,   4235,   4534,   6269,   7064,   7149, 
/* msg =    451, deg =  6 */    569,   1213,   2797,   3871,   6682,   7335, 
/* msg =    452, deg =  6 */   1956,   4223,   4338,   4829,   4957,   5467, 
/* msg =    453, deg =  6 */    255,   2652,   2902,   4459,   5106,   7659, 
/* msg =    454, deg =  6 */   1469,   3828,   4709,   6118,   6609,   7314, 
/* msg =    455, deg =  6 */   1200,   1463,   2413,   5259,   7507,   7676, 
/* msg =    456, deg =  6 */    316,   3704,   4949,   5013,   5461,   6259, 
/* msg =    457, deg =  6 */    423,    459,   3209,   5566,   6091,   7417, 
/* msg =    458, deg =  6 */    655,    826,   1301,   2927,   4942,   7759, 
/* msg =    459, deg =  6 */    169,    693,   1108,   3674,   6804,   7817, 
/* msg =    460, deg =  6 */    679,   1646,   1756,   5198,   6076,   6101, 
/* msg =    461, deg =  6 */   3265,   5021,   5550,   6398,   7748,   7953, 
/* msg =    462, deg =  6 */   1588,   2469,   4861,   4872,   6301,   7663, 
/* msg =    463, deg =  6 */   3268,   3347,   5357,   6356,   6806,   7543, 
/* msg =    464, deg =  6 */   1400,   2520,   4311,   6979,   7206,   7573, 
/* msg =    465, deg =  6 */    375,    441,   1826,   3333,   5527,   6617, 
/* msg =    466, deg =  6 */    794,   1057,   3482,   3757,   5013,   7413, 
/* msg =    467, deg =  6 */    810,   2653,   4414,   4686,   6020,   7901, 
/* msg =    468, deg =  6 */    327,   2072,   3510,   4137,   4588,   5512, 
/* msg =    469, deg =  6 */    310,    463,   2574,   6044,   6183,   7230, 
/* msg =    470, deg =  6 */   1326,   1344,   6405,   6554,   7368,   7784, 
/* msg =    471, deg =  6 */    825,   1096,   1976,   2518,   6375,   7035, 
/* msg =    472, deg =  6 */    368,   1814,   5331,   7212,   7492,   7678, 
/* msg =    473, deg =  6 */     92,   1237,   2115,   2899,   3133,   4694, 
/* msg =    474, deg =  6 */    257,    771,   1530,   1897,   3073,   4947, 
/* msg =    475, deg =  6 */    921,   1572,   1987,   2145,   4277,   4998, 
/* msg =    476, deg =  6 */   2670,   2814,   4196,   5093,   6482,   7041, 
/* msg =    477, deg =  6 */    490,   1390,   2019,   2194,   4907,   5978, 
/* msg =    478, deg =  6 */    757,   3249,   3608,   5645,   6655,   6808, 
/* msg =    479, deg =  6 */    320,   2147,   2726,   2735,   5935,   6756, 
/* msg =    480, deg =  6 */   1135,   3321,   3445,   3608,   4158,   5386, 
/* msg =    481, deg =  6 */    801,    984,   2991,   6533,   6557,   7536, 
/* msg =    482, deg =  6 */   1754,   1950,   3497,   5826,   6888,   7625, 
/* msg =    483, deg =  6 */    134,   3373,   3392,   4365,   5261,   6940, 
/* msg =    484, deg =  6 */    893,   3091,   4087,   5009,   5677,   7935, 
/* msg =    485, deg =  6 */   1379,   1860,   2910,   3144,   4394,   7030, 
/* msg =    486, deg =  6 */    192,    370,    633,    873,    902,   2313, 
/* msg =    487, deg =  6 */    464,   1214,   1341,   2198,   5100,   6037, 
/* msg =    488, deg =  6 */    494,    878,   3178,   4261,   4319,   6568, 
/* msg =    489, deg =  6 */    539,   1734,   1746,   4351,   4422,   5906, 
/* msg =    490, deg =  6 */   2811,   2846,   2906,   3182,   4299,   4974, 
/* msg =    491, deg =  6 */   2666,   4703,   5690,   5896,   7104,   7784, 
/* msg =    492, deg =  6 */   1030,   1180,   1735,   3807,   5090,   6633, 
/* msg =    493, deg =  6 */    401,   2042,   3369,   3534,   3635,   5139, 
/* msg =    494, deg =  6 */    234,    410,   1277,   1408,   2360,   5749, 
/* msg =    495, deg =  6 */    608,   3244,   6807,   7323,   7651,   7927, 
/* msg =    496, deg =  6 */    877,   1920,   4082,   5058,   5838,   7213, 
/* msg =    497, deg =  6 */   1201,   2972,   3573,   4651,   5709,   6033, 
/* msg =    498, deg =  6 */    148,    595,   3538,   5331,   5638,   6507, 
/* msg =    499, deg =  6 */    644,    816,   3022,   3076,   5433,   6553, 
/* msg =    500, deg =  6 */    849,   1459,   3598,   5102,   6277,   7297, 
/* msg =    501, deg =  6 */   2271,   2505,   2827,   2902,   4283,   4670, 
/* msg =    502, deg =  6 */    414,   2364,   2592,   4993,   5152,   5508, 
/* msg =    503, deg =  6 */   3359,   4009,   4976,   5817,   6824,   7999, 
/* msg =    504, deg =  6 */   2157,   2557,   3059,   3785,   5996,   7082, 
/* msg =    505, deg =  6 */   1225,   1643,   2888,   4181,   7351,   7980, 
/* msg =    506, deg =  6 */    683,   3293,   5584,   6713,   7918,   7940, 
/* msg =    507, deg =  6 */   1189,   1600,   4142,   4557,   4990,   6271, 
/* msg =    508, deg =  6 */   1160,   1745,   3515,   3624,   6346,   6668, 
/* msg =    509, deg =  6 */   1360,   2407,   3821,   5014,   6049,   6969, 
/* msg =    510, deg =  6 */   1440,   1476,   1532,   3179,   6560,   7191, 
/* msg =    511, deg =  6 */   2761,   2781,   2959,   4242,   5799,   6542, 
/* msg =    512, deg =  6 */   2753,   2865,   3730,   5800,   6793,   7335, 
/* msg =    513, deg =  6 */   1557,   3930,   4353,   5185,   7160,   7938, 
/* msg =    514, deg =  6 */    940,   2255,   2390,   5421,   5893,   5967, 
/* msg =    515, deg =  6 */     47,    206,    313,    795,   1336,   5519, 
/* msg =    516, deg =  6 */    881,   4920,   5029,   6157,   6968,   7729, 
/* msg =    517, deg =  6 */     99,   2181,   2376,   3013,   3485,   4827, 
/* msg =    518, deg =  6 */    370,   3786,   6701,   6718,   7310,   7390, 
/* msg =    519, deg =  6 */    591,    641,    903,   3318,   5265,   7940, 
/* msg =    520, deg =  6 */    345,   1749,   6294,   6722,   7450,   7510, 
/* msg =    521, deg =  6 */   2044,   2957,   3700,   3797,   5325,   7396, 
/* msg =    522, deg =  6 */    851,   2048,   3771,   4163,   4705,   6030, 
/* msg =    523, deg =  6 */    628,   2312,   2795,   5266,   5864,   6079, 
/* msg =    524, deg =  6 */   1131,   1638,   2750,   3067,   4775,   6564, 
/* msg =    525, deg =  6 */   2199,   2344,   3221,   4494,   5183,   6224, 
/* msg =    526, deg =  6 */   1083,   2768,   2994,   3714,   4902,   5388, 
/* msg =    527, deg =  6 */    554,   1053,   3848,   4554,   5231,   5392, 
/* msg =    528, deg =  6 */   1291,   1471,   1997,   3718,   3771,   6517, 
/* msg =    529, deg =  6 */    416,   1404,   3827,   4785,   5099,   5906, 
/* msg =    530, deg =  6 */    879,   2837,   4489,   6478,   7268,   7879, 
/* msg =    531, deg =  6 */    595,    996,   2704,   5436,   6710,   7875, 
/* msg =    532, deg =  6 */    434,   1548,   2451,   3844,   5221,   6689, 
/* msg =    533, deg =  6 */   2488,   2523,   4083,   4711,   6138,   7607, 
/* msg =    534, deg =  6 */     34,    864,   3095,   4309,   5546,   7713, 
/* msg =    535, deg =  6 */   1379,   2718,   5103,   5662,   7522,   7601, 
/* msg =    536, deg =  6 */    356,   1445,   2343,   4545,   5286,   7080, 
/* msg =    537, deg =  6 */    474,   1508,   2793,   4721,   5308,   7808, 
/* msg =    538, deg =  6 */      1,   1259,   1588,   1797,   2417,   5577, 
/* msg =    539, deg =  6 */   2678,   4310,   4561,   6409,   6998,   7402, 
/* msg =    540, deg =  6 */   1353,   1726,   1985,   4846,   5646,   7368, 
/* msg =    541, deg =  6 */   1902,   2738,   3422,   6541,   6746,   7945, 
/* msg =    542, deg =  6 */   1623,   5016,   5716,   5976,   6113,   7365, 
/* msg =    543, deg =  6 */    529,   2521,   4439,   4897,   5822,   7305, 
/* msg =    544, deg =  6 */   2377,   2389,   3788,   7236,   7512,   7543, 
/* msg =    545, deg =  6 */   1116,   5238,   5469,   7130,   7266,   7320, 
/* msg =    546, deg =  6 */   2357,   2924,   4032,   4081,   6507,   6792, 
/* msg =    547, deg =  6 */   1871,   1888,   3270,   4542,   4838,   6020, 
/* msg =    548, deg =  6 */    765,   2010,   4056,   4288,   4698,   7656, 
/* msg =    549, deg =  6 */   2547,   2845,   3378,   5000,   6616,   7284, 
/* msg =    550, deg =  6 */    984,   1809,   3337,   3972,   6590,   7488, 
/* msg =    551, deg =  6 */   2246,   3317,   3794,   6024,   6586,   7514, 
/* msg =    552, deg =  6 */   2480,   2742,   3303,   5477,   7467,   7568, 
/* msg =    553, deg =  6 */    982,   1082,   1164,   1487,   3014,   3769, 
/* msg =    554, deg =  6 */   1769,   1950,   2956,   3520,   3695,   5494, 
/* msg =    555, deg =  6 */   1238,   1853,   3090,   3710,   5176,   7282, 
/* msg =    556, deg =  6 */    425,   3630,   4106,   6359,   6690,   7709, 
/* msg =    557, deg =  6 */    122,    238,   2073,   2535,   4039,   5251, 
/* msg =    558, deg =  6 */   1080,   2461,   2801,   4346,   7145,   7272, 
/* msg =    559, deg =  6 */     61,   3121,   3449,   3834,   6584,   6702, 
/* msg =    560, deg =  6 */    619,   2711,   3140,   3804,   4742,   7147, 
/* msg =    561, deg =  6 */   1840,   2272,   2325,   3793,   5839,   7404, 
/* msg =    562, deg =  6 */   2345,   2704,   3025,   4009,   5513,   6881, 
/* msg =    563, deg =  6 */    372,   2954,   5553,   6762,   7356,   7642, 
/* msg =    564, deg =  6 */   1092,   1819,   1896,   5786,   6154,   6799, 
/* msg =    565, deg =  6 */   2307,   2904,   5082,   6941,   7283,   7456, 
/* msg =    566, deg =  6 */    603,    730,   1061,   4065,   4414,   5742, 
/* msg =    567, deg =  6 */    113,    705,   3057,   3885,   5779,   6803, 
/* msg =    568, deg =  6 */   1134,   4935,   5416,   5964,   6157,   7853, 
/* msg =    569, deg =  6 */    822,   4614,   4834,   5651,   6312,   6644, 
/* msg =    570, deg =  6 */    762,   3561,   5379,   5871,   7581,   7854, 
/* msg =    571, deg =  6 */   1669,   3922,   4283,   4425,   5924,   7074, 
/* msg =    572, deg =  6 */    190,   2052,   3500,   5381,   5825,   7664, 
/* msg =    573, deg =  6 */   1900,   2066,   5241,   5396,   6408,   6741, 
/* msg =    574, deg =  6 */   1598,   2087,   2374,   4586,   5265,   5555, 
/* msg =    575, deg =  6 */   1670,   1681,   1874,   4421,   5308,   7928, 
/* msg =    576, deg =  6 */    303,   3119,   4748,   6273,   6466,   6687, 
/* msg =    577, deg =  6 */    326,   1769,   3528,   4320,   5465,   6290, 
/* msg =    578, deg =  6 */   2732,   3196,   6493,   6595,   7330,   7655, 
/* msg =    579, deg =  6 */   2978,   3468,   3967,   4199,   4292,   7738, 
/* msg =    580, deg =  6 */    748,   2983,   3610,   4674,   5861,   7645, 
/* msg =    581, deg =  6 */    895,   1330,   4652,   5358,   6676,   7230, 
/* msg =    582, deg =  6 */    259,    975,   1032,   2569,   3410,   4124, 
/* msg =    583, deg =  6 */   1179,   1285,   2200,   4555,   6517,   6680, 
/* msg =    584, deg =  6 */   1963,   2577,   3368,   4220,   4643,   7414, 
/* msg =    585, deg =  6 */    683,   1867,   1998,   2510,   3160,   3605, 
/* msg =    586, deg =  6 */   1593,   1838,   1958,   2144,   3892,   5084, 
/* msg =    587, deg =  6 */    379,   2937,   4800,   5591,   6412,   7083, 
/* msg =    588, deg =  6 */   2256,   2962,   3534,   4075,   6053,   7592, 
/* msg =    589, deg =  6 */   2068,   3998,   5351,   6343,   7170,   7447, 
/* msg =    590, deg =  6 */    149,   1492,   3467,   3806,   4475,   5796, 
/* msg =    591, deg =  6 */    249,   1508,   2111,   3056,   4347,   4935, 
/* msg =    592, deg =  6 */   1569,   2524,   3166,   5614,   6151,   7114, 
/* msg =    593, deg =  6 */    315,   1911,   2122,   5661,   6591,   7222, 
/* msg =    594, deg =  6 */    479,    509,   1289,   1925,   4375,   6909, 
/* msg =    595, deg =  6 */    167,    842,   2464,   4732,   7395,   7511, 
/* msg =    596, deg =  6 */    833,   2194,   3692,   4868,   6350,   6674, 
/* msg =    597, deg =  6 */   1280,   2499,   3847,   5074,   6646,   7090, 
/* msg =    598, deg =  6 */    336,   1161,   1801,   2647,   7013,   7939, 
/* msg =    599, deg =  6 */   2774,   5924,   5997,   7485,   7488,   7761, 
/* msg =    600, deg =  6 */    509,   1841,   2690,   4778,   6827,   7819, 
/* msg =    601, deg =  6 */     15,   1159,   2288,   3621,   5059,   5509, 
/* msg =    602, deg =  6 */    287,   3027,   4593,   6618,   6816,   7998, 
/* msg =    603, deg =  6 */   1262,   2497,   3276,   4557,   6220,   7523, 
/* msg =    604, deg =  6 */    173,    200,   3573,   3926,   5109,   6551, 
/* msg =    605, deg =  6 */   1615,   2332,   2911,   5239,   5711,   7805, 
/* msg =    606, deg =  6 */     68,   2103,   2369,   2577,   3395,   5227, 
/* msg =    607, deg =  6 */    695,    728,   1368,   3376,   4356,   4840, 
/* msg =    608, deg =  6 */    418,   1048,   1477,   2747,   5536,   6423, 
/* msg =    609, deg =  6 */   2395,   2559,   2629,   3772,   3869,   4620, 
/* msg =    610, deg =  6 */    708,   1030,   1330,   1657,   2993,   7697, 
/* msg =    611, deg =  6 */   3104,   3759,   3884,   3942,   4908,   7147, 
/* msg =    612, deg =  6 */    752,   1775,   2450,   2666,   3315,   7240, 
/* msg =    613, deg =  6 */    256,   5482,   5584,   5753,   7422,   7958, 
/* msg =    614, deg =  6 */    712,   4680,   4879,   6228,   6450,   6944, 
/* msg =    615, deg =  6 */    462,   1894,   3114,   3973,   5450,   6436, 
/* msg =    616, deg =  6 */    238,    281,   2087,   4308,   4919,   5918, 
/* msg =    617, deg =  6 */    101,    401,    720,   3629,   5624,   6614, 
/* msg =    618, deg =  6 */   2438,   4164,   4979,   6351,   7023,   7185, 
/* msg =    619, deg =  6 */    747,   4169,   4752,   5190,   5440,   5793, 
/* msg =    620, deg =  6 */   1631,   2511,   3548,   5393,   6345,   6431, 
/* msg =    621, deg =  6 */   2267,   3268,   4297,   5092,   6574,   7660, 
/* msg =    622, deg =  6 */    706,   2453,   4322,   5234,   5254,   7273, 
/* msg =    623, deg =  6 */    259,    408,    874,   3109,   3427,   7382, 
/* msg =    624, deg =  6 */   1288,   1952,   2711,   6205,   6234,   7942, 
/* msg =    625, deg =  6 */    346,    865,   1843,   3668,   3747,   4910, 
/* msg =    626, deg =  6 */   2331,   2594,   6132,   6652,   6838,   7377, 
/* msg =    627, deg =  6 */    528,    579,   3353,   3750,   4678,   6547, 
/* msg =    628, deg =  6 */   1932,   3881,   4479,   5406,   6381,   6738, 
/* msg =    629, deg =  6 */    844,   1375,   3050,   4468,   4997,   7014, 
/* msg =    630, deg =  6 */    604,   1313,   1903,   2159,   3487,   6753, 
/* msg =    631, deg =  6 */    623,   2430,   2943,   3121,   5940,   6787, 
/* msg =    632, deg =  6 */    288,    699,   2756,   3483,   4364,   7414, 
/* msg =    633, deg =  6 */   1946,   4029,   4135,   5113,   6552,   6737, 
/* msg =    634, deg =  6 */   1813,   3357,   6014,   6040,   6506,   7815, 
/* msg =    635, deg =  6 */   1538,   4294,   5333,   5755,   6697,   7329, 
/* msg =    636, deg =  6 */    709,   1458,   2435,   4227,   4971,   6322, 
/* msg =    637, deg =  6 */   2143,   4104,   4511,   6744,   6925,   7870, 
/* msg =    638, deg =  6 */    142,    166,   3357,   3889,   5073,   5461, 
/* msg =    639, deg =  6 */    200,    519,   3594,   3746,   3751,   6819, 
/* msg =    640, deg =  6 */   4179,   4788,   4922,   5255,   6875,   7637, 
/* msg =    641, deg =  6 */    358,   1323,   2632,   3411,   3736,   5234, 
/* msg =    642, deg =  6 */    439,    555,    700,   3868,   4238,   7992, 
/* msg =    643, deg =  6 */   1739,   3530,   4713,   4943,   5064,   7167, 
/* msg =    644, deg =  6 */    229,   1052,   2339,   3082,   5835,   6130, 
/* msg =    645, deg =  6 */    749,    976,   2327,   2645,   5356,   6430, 
/* msg =    646, deg =  6 */   5101,   5930,   6025,   6156,   7794,   7827, 
/* msg =    647, deg =  6 */    670,   1180,   2221,   2787,   5836,   6210, 
/* msg =    648, deg =  6 */   4623,   4949,   5215,   6123,   6750,   6975, 
/* msg =    649, deg =  6 */    842,   2367,   4672,   4805,   4810,   5401, 
/* msg =    650, deg =  6 */   3532,   3543,   3662,   7294,   7689,   7749, 
/* msg =    651, deg =  6 */   3126,   3491,   4287,   5680,   6660,   7307, 
/* msg =    652, deg =  6 */    150,    876,   1378,   6057,   6081,   6454, 
/* msg =    653, deg =  6 */    191,    274,   1316,   3041,   3151,   3591, 
/* msg =    654, deg =  6 */   3397,   3469,   5506,   5801,   6077,   7200, 
/* msg =    655, deg =  6 */      9,    305,   4813,   4877,   5335,   6366, 
/* msg =    656, deg =  6 */    527,    928,   1119,   1421,   1685,   5501, 
/* msg =    657, deg =  6 */   2769,   3288,   3766,   5801,   6332,   7829, 
/* msg =    658, deg =  6 */    407,   1800,   3419,   4350,   6749,   7689, 
/* msg =    659, deg =  6 */     43,    932,   2286,   2537,   4928,   7167, 
/* msg =    660, deg =  6 */    366,   3177,   3692,   4349,   6610,   7607, 
/* msg =    661, deg =  6 */   3227,   5749,   5793,   6391,   6922,   7704, 
/* msg =    662, deg =  6 */   2109,   2466,   2495,   5886,   5898,   6206, 
/* msg =    663, deg =  6 */     60,   4299,   4591,   5517,   5756,   7295, 
/* msg =    664, deg =  6 */   1010,   5118,   5732,   6039,   7570,   7778, 
/* msg =    665, deg =  6 */     45,    933,   1227,   2681,   5228,   5353, 
/* msg =    666, deg =  6 */    741,   3191,   3765,   5355,   6822,   6892, 
/* msg =    667, deg =  6 */    440,   1004,   1800,   2099,   4393,   4669, 
/* msg =    668, deg =  6 */    626,   2133,   2197,   2897,   6673,   7406, 
/* msg =    669, deg =  6 */    159,    663,    773,   3119,   5377,   6585, 
/* msg =    670, deg =  6 */   1205,   4006,   4016,   5909,   6085,   6453, 
/* msg =    671, deg =  6 */   1333,   2273,   2361,   4554,   5894,   7981, 
/* msg =    672, deg =  6 */   2821,   3292,   4209,   4505,   6167,   6246, 
/* msg =    673, deg =  6 */    156,   1127,   2134,   4326,   6967,   7960, 
/* msg =    674, deg =  6 */    371,    411,   1851,   1951,   4042,   6832, 
/* msg =    675, deg =  6 */   2896,   3708,   3907,   3957,   4615,   5375, 
/* msg =    676, deg =  6 */    244,   1207,   2783,   3978,   5559,   5746, 
/* msg =    677, deg =  6 */   3516,   4192,   4377,   6366,   7258,   7964, 
/* msg =    678, deg =  6 */   1857,   2650,   2773,   3060,   4432,   5781, 
/* msg =    679, deg =  6 */    940,   4955,   5199,   5422,   6827,   7299, 
/* msg =    680, deg =  6 */    126,    636,   1366,   1808,   2266,   2590, 
/* msg =    681, deg =  6 */   2338,   2611,   3048,   4440,   5689,   6632, 
/* msg =    682, deg =  6 */   2195,   2577,   2910,   2966,   4202,   4568, 
/* msg =    683, deg =  6 */    445,   1035,   3687,   7042,   7235,   7550, 
/* msg =    684, deg =  6 */    666,   2002,   2928,   3083,   4553,   6510, 
/* msg =    685, deg =  6 */    686,    813,   2236,   6964,   7491,   7708, 
/* msg =    686, deg =  6 */    353,   1312,   1548,   2011,   4742,   5615, 
/* msg =    687, deg =  6 */     35,   1056,   3219,   3793,   3832,   5447, 
/* msg =    688, deg =  6 */   1172,   2323,   4571,   5747,   7056,   7830, 
/* msg =    689, deg =  6 */    348,   4837,   6036,   6890,   7776,   7815, 
/* msg =    690, deg =  6 */    246,   1713,   2478,   4630,   4762,   7480, 
/* msg =    691, deg =  6 */   3127,   4213,   4957,   5508,   5990,   7363, 
/* msg =    692, deg =  6 */   1307,   1389,   3421,   3499,   7004,   7952, 
/* msg =    693, deg =  6 */   1509,   3015,   3101,   3598,   4731,   6239, 
/* msg =    694, deg =  6 */    519,   1111,   1593,   1739,   1898,   2413, 
/* msg =    695, deg =  6 */    336,   3384,   4616,   5634,   5718,   7707, 
/* msg =    696, deg =  6 */    565,   1034,   1252,   4390,   5054,   6123, 
/* msg =    697, deg =  6 */   1843,   2121,   3551,   3652,   4020,   4307, 
/* msg =    698, deg =  6 */    114,    310,   1694,   3410,   3969,   7078, 
/* msg =    699, deg =  6 */    298,   1725,   2342,   6070,   6438,   6732, 
/* msg =    700, deg =  6 */    296,   1930,   2043,   4094,   4882,   7579, 
/* msg =    701, deg =  6 */   4011,   5165,   6227,   6662,   7567,   7905, 
/* msg =    702, deg =  6 */    983,   3345,   4077,   4943,   7055,   7724, 
/* msg =    703, deg =  6 */   1550,   1761,   4500,   5519,   5750,   6092, 
/* msg =    704, deg =  6 */    916,   2435,   3480,   4107,   6431,   7465, 
/* msg =    705, deg =  6 */   2204,   2807,   4203,   4638,   5900,   6165, 
/* msg =    706, deg =  6 */    643,   1693,   3567,   4603,   6761,   7165, 
/* msg =    707, deg =  6 */    264,   3103,   6815,   7039,   7130,   7444, 
/* msg =    708, deg =  6 */   2805,   3682,   4489,   4958,   5139,   7063, 
/* msg =    709, deg =  6 */    139,   2755,   2776,   4002,   6511,   7047, 
/* msg =    710, deg =  6 */   1625,   1670,   1721,   2033,   2352,   7869, 
/* msg =    711, deg =  6 */    105,   1435,   1632,   2462,   2969,   4927, 
/* msg =    712, deg =  6 */    136,    569,   4029,   4326,   5529,   7379, 
/* msg =    713, deg =  6 */   1341,   1478,   5674,   6605,   7049,   7264, 
/* msg =    714, deg =  6 */   1620,   3105,   4215,   4924,   5179,   5246, 
/* msg =    715, deg =  6 */   3018,   4891,   5320,   6984,   7451,   7454, 
/* msg =    716, deg =  6 */   1093,   4033,   4796,   4820,   7345,   7972, 
/* msg =    717, deg =  6 */   3744,   3770,   4174,   4502,   6459,   7346, 
/* msg =    718, deg =  6 */   2842,   3263,   4941,   5910,   6845,   6961, 
/* msg =    719, deg =  6 */    882,   1803,   4020,   6278,   6556,   7618, 
/* msg =    720, deg =  6 */   1762,   2250,   2532,   3497,   6816,   7345, 
/* msg =    721, deg =  6 */    955,   2995,   5702,   6650,   6735,   7011, 
/* msg =    722, deg =  6 */   1153,   1745,   3572,   5664,   5844,   7026, 
/* msg =    723, deg =  6 */    412,   1082,   2370,   3086,   6186,   6484, 
/* msg =    724, deg =  6 */   2284,   2616,   2755,   4462,   5558,   6143, 
/* msg =    725, deg =  6 */   2249,   4156,   5236,   5755,   6963,   7282, 
/* msg =    726, deg =  6 */   2020,   2607,   3055,   4095,   6546,   7857, 
/* msg =    727, deg =  6 */    298,   3610,   3675,   6351,   6432,   6531, 
/* msg =    728, deg =  6 */    576,    638,   2152,   4546,   4676,   7437, 
/* msg =    729, deg =  6 */   3297,   3722,   4277,   6035,   6270,   7117, 
/* msg =    730, deg =  6 */   2173,   3837,   4016,   4466,   6274,   7668, 
/* msg =    731, deg =  6 */   1403,   2216,   2605,   2703,   3143,   4596, 
/* msg =    732, deg =  6 */      4,   2566,   4711,   6881,   7177,   7961, 
/* msg =    733, deg =  6 */   2132,   3338,   3457,   3571,   4822,   5381, 
/* msg =    734, deg =  6 */   2301,   5128,   6721,   6996,   7122,   7655, 
/* msg =    735, deg =  6 */   1692,   3285,   3737,   5164,   5376,   7876, 
/* msg =    736, deg =  6 */    823,   4889,   4937,   5454,   5579,   6388, 
/* msg =    737, deg =  6 */   1397,   2792,   3078,   5451,   5890,   7803, 
/* msg =    738, deg =  6 */    613,   1141,   1776,   2844,   6407,   7109, 
/* msg =    739, deg =  6 */    395,    722,   2764,   6225,   6413,   6705, 
/* msg =    740, deg =  6 */   2052,   2427,   6569,   7077,   7078,   7675, 
/* msg =    741, deg =  6 */   3217,   3407,   3683,   4469,   4844,   5741, 
/* msg =    742, deg =  6 */   3247,   3681,   4966,   6187,   6241,   6500, 
/* msg =    743, deg =  6 */    279,    837,   1130,   4844,   6384,   7911, 
/* msg =    744, deg =  6 */   1024,   2131,   2416,   2588,   4035,   7538, 
/* msg =    745, deg =  6 */    720,   1466,   4017,   4779,   6357,   6716, 
/* msg =    746, deg =  6 */     54,    485,   1976,   4462,   5103,   6079, 
/* msg =    747, deg =  6 */    233,    392,   1981,   2025,   2502,   5131, 
/* msg =    748, deg =  6 */   2252,   2389,   3601,   5205,   6413,   6651, 
/* msg =    749, deg =  6 */    189,    213,   2093,   4224,   6055,   7793, 
/* msg =    750, deg =  6 */    625,   1126,   3831,   6573,   7448,   7785, 
/* msg =    751, deg =  6 */    605,   1768,   1819,   6481,   7060,   7113, 
/* msg =    752, deg =  6 */    161,    301,   1696,   2219,   4065,   7972, 
/* msg =    753, deg =  6 */    678,    803,   1868,   2008,   3114,   6227, 
/* msg =    754, deg =  6 */   3097,   3785,   5264,   5821,   6170,   7355, 
/* msg =    755, deg =  6 */    580,   1031,   1612,   3205,   3721,   4632, 
/* msg =    756, deg =  6 */    112,    354,   2329,   2865,   4249,   4273, 
/* msg =    757, deg =  6 */    597,    689,   2592,   3901,   4242,   7090, 
/* msg =    758, deg =  6 */   2788,   2863,   3056,   3867,   4359,   6819, 
/* msg =    759, deg =  6 */     32,    558,    889,   2176,   3443,   6656, 
/* msg =    760, deg =  6 */   2547,   4457,   4598,   5445,   7061,   7114, 
/* msg =    761, deg =  6 */   3762,   4629,   6308,   6618,   7195,   7786, 
/* msg =    762, deg =  6 */   3461,   5279,   5858,   5969,   6501,   6899, 
/* msg =    763, deg =  6 */   1269,   1482,   2612,   4398,   5195,   7243, 
/* msg =    764, deg =  6 */   2866,   3853,   6593,   7463,   7867,   7885, 
/* msg =    765, deg =  6 */    760,   2675,   2762,   3616,   4896,   5319, 
/* msg =    766, deg =  6 */   1742,   2250,   4143,   5783,   6948,   7449, 
/* msg =    767, deg =  6 */    474,   1535,   1789,   2741,   3408,   3887, 
/* msg =    768, deg =  6 */   5458,   5803,   5818,   6109,   7236,   7731, 
/* msg =    769, deg =  6 */    855,   3023,   3393,   4021,   6215,   6395, 
/* msg =    770, deg =  6 */    911,    912,   1507,   4038,   4092,   7499, 
/* msg =    771, deg =  6 */   1431,   2468,   3140,   4240,   6127,   7858, 
/* msg =    772, deg =  6 */    957,   1837,   1876,   3152,   5567,   6469, 
/* msg =    773, deg =  6 */   1177,   2664,   2942,   4268,   4314,   7353, 
/* msg =    774, deg =  6 */    172,    664,   1299,   2498,   4727,   7332, 
/* msg =    775, deg =  6 */   1192,   1265,   4042,   4948,   5889,   5954, 
/* msg =    776, deg =  6 */    891,   1567,   2362,   2909,   3001,   5600, 
/* msg =    777, deg =  6 */   2554,   3552,   5695,   5834,   7105,   7275, 
/* msg =    778, deg =  6 */   1389,   2150,   2684,   3484,   6726,   7685, 
/* msg =    779, deg =  6 */    113,   1106,   1731,   2485,   7627,   7818, 
/* msg =    780, deg =  6 */    351,   1521,   1523,   3625,   3857,   5463, 
/* msg =    781, deg =  6 */   2129,   3927,   5772,   5925,   5949,   7876, 
/* msg =    782, deg =  6 */   1522,   2260,   2903,   4158,   5679,   6158, 
/* msg =    783, deg =  6 */    367,    544,   2710,   4312,   5376,   6635, 
/* msg =    784, deg =  6 */   2075,   2669,   3431,   3811,   4017,   6462, 
/* msg =    785, deg =  6 */   1557,   2456,   2613,   3566,   3651,   6118, 
/* msg =    786, deg =  6 */    112,   1043,   1928,   3655,   5098,   5211, 
/* msg =    787, deg =  6 */   1140,   2348,   4427,   7000,   7008,   7775, 
/* msg =    788, deg =  6 */   1015,   1054,   2325,   2340,   5474,   6234, 
/* msg =    789, deg =  6 */    104,    175,    784,   4827,   7113,   7709, 
/* msg =    790, deg =  6 */   1019,   1332,   1511,   2448,   4903,   6440, 
/* msg =    791, deg =  6 */   1560,   1799,   1867,   4519,   5156,   7346, 
/* msg =    792, deg =  6 */   2828,   3842,   5455,   6310,   6782,   7199, 
/* msg =    793, deg =  6 */   2204,   2467,   2481,   3604,   7662,   7854, 
/* msg =    794, deg =  6 */   2021,   2129,   2541,   2862,   3141,   7457, 
/* msg =    795, deg =  6 */    267,   1865,   2742,   5179,   5639,   7296, 
/* msg =    796, deg =  6 */     27,    329,   2621,   2696,   3787,   5256, 
/* msg =    797, deg =  6 */   1464,   2054,   4507,   5464,   5955,   7013, 
/* msg =    798, deg =  6 */    118,    304,    670,   4378,   4706,   5123, 
/* msg =    799, deg =  6 */    183,   1473,   1979,   3341,   4957,   6629, 
/* msg =    800, deg =  6 */    347,   1595,   3438,   3843,   5914,   7489, 
/* msg =    801, deg =  6 */   1564,   1752,   2641,   4361,   6950,   7897, 
/* msg =    802, deg =  6 */   1866,   2563,   3431,   3937,   4800,   7872, 
/* msg =    803, deg =  6 */     94,    277,   3432,   5635,   6156,   7063, 
/* msg =    804, deg =  6 */    484,   4746,   6948,   7122,   7599,   7890, 
/* msg =    805, deg =  6 */    102,    924,   1696,   4452,   5546,   6719, 
/* msg =    806, deg =  6 */    453,    508,    558,   2442,   3271,   3841, 
/* msg =    807, deg =  6 */     54,   1194,   2103,   3342,   4639,   6879, 
/* msg =    808, deg =  6 */   1193,   1207,   1484,   1558,   7509,   7826, 
/* msg =    809, deg =  6 */   1703,   4616,   4954,   5522,   5619,   6923, 
/* msg =    810, deg =  6 */   4845,   5641,   5952,   6888,   7242,   7254, 
/* msg =    811, deg =  6 */    191,   2852,   4210,   4951,   7340,   7671, 
/* msg =    812, deg =  6 */   1916,   3206,   4082,   4869,   6886,   6896, 
/* msg =    813, deg =  6 */   1966,   3512,   6570,   6937,   7086,   7331, 
/* msg =    814, deg =  6 */      0,     75,    871,   3751,   3870,   4513, 
/* msg =    815, deg =  6 */   2852,   5184,   5613,   6184,   6694,   6813, 
/* msg =    816, deg =  6 */    900,   3853,   3944,   4139,   5860,   6641, 
/* msg =    817, deg =  6 */    671,   3460,   3554,   4437,   4645,   5995, 
/* msg =    818, deg =  6 */   1526,   1795,   2076,   3796,   5665,   5671, 
/* msg =    819, deg =  6 */    217,   1855,   6541,   6612,   6756,   7932, 
/* msg =    820, deg =  6 */    397,    403,    850,   2886,   3155,   6257, 
/* msg =    821, deg =  6 */    574,   1411,   3153,   4169,   4184,   7320, 
/* msg =    822, deg =  6 */   1403,   1989,   2299,   3849,   4401,   6210, 
/* msg =    823, deg =  6 */   2240,   3586,   4718,   4843,   5696,   6882, 
/* msg =    824, deg =  6 */   1578,   1921,   2459,   6359,   6671,   7453, 
/* msg =    825, deg =  6 */   1815,   1942,   2307,   4030,   5282,   6604, 
/* msg =    826, deg =  6 */    601,    632,   3822,   4942,   5713,   7309, 
/* msg =    827, deg =  6 */   1114,   1397,   1710,   2812,   7687,   7981, 
/* msg =    828, deg =  6 */    547,   2731,   4408,   5125,   5983,   6515, 
/* msg =    829, deg =  6 */   2283,   2674,   3557,   3980,   5647,   6450, 
/* msg =    830, deg =  6 */   2311,   3499,   3711,   5722,   6562,   6852, 
/* msg =    831, deg =  6 */     22,    131,    882,   1428,   6184,   6296, 
/* msg =    832, deg =  6 */   1245,   3486,   6106,   6126,   7468,   7915, 
/* msg =    833, deg =  6 */      1,   1673,   3879,   4223,   7349,   7946, 
/* msg =    834, deg =  6 */    149,   2301,   2374,   2686,   3987,   4337, 
/* msg =    835, deg =  6 */   1202,   2055,   3025,   3794,   4206,   6491, 
/* msg =    836, deg =  6 */     65,    785,   1527,   3780,   4393,   6034, 
/* msg =    837, deg =  6 */   2392,   3649,   5050,   6580,   6983,   7481, 
/* msg =    838, deg =  6 */    537,    876,   2528,   4983,   5622,   6217, 
/* msg =    839, deg =  6 */   1650,   2347,   2508,   5160,   6098,   7038, 
/* msg =    840, deg =  6 */    605,   2437,   2502,   2654,   2990,   5686, 
/* msg =    841, deg =  6 */   1319,   1901,   2685,   5745,   7021,   7062, 
/* msg =    842, deg =  6 */   3772,   3809,   5310,   5892,   6786,   7456, 
/* msg =    843, deg =  6 */   1506,   2192,   4074,   4755,   6567,   7696, 
/* msg =    844, deg =  6 */   2503,   3704,   3778,   3954,   4278,   4789, 
/* msg =    845, deg =  6 */   2521,   4397,   5002,   5517,   6349,   7520, 
/* msg =    846, deg =  6 */   1732,   4048,   4659,   5408,   5443,   6325, 
/* msg =    847, deg =  6 */   4268,   4362,   6367,   6534,   7332,   7397, 
/* msg =    848, deg =  6 */    770,   2065,   2856,   4244,   5314,   6766, 
/* msg =    849, deg =  6 */   2920,   3797,   5548,   6369,   7175,   7757, 
/* msg =    850, deg =  6 */   1136,   3960,   4693,   5138,   5610,   7927, 
/* msg =    851, deg =  6 */   1538,   1794,   2187,   3075,   5080,   6910, 
/* msg =    852, deg =  6 */    740,   1936,   3576,   5069,   5433,   6755, 
/* msg =    853, deg =  6 */   1571,   2071,   3849,   6102,   6455,   6538, 
/* msg =    854, deg =  6 */     88,   2333,   2515,   4798,   6386,   6565, 
/* msg =    855, deg =  6 */   1292,   1940,   3455,   3697,   4502,   6422, 
/* msg =    856, deg =  6 */    488,    678,   2050,   2822,   5415,   5431, 
/* msg =    857, deg =  6 */   2426,   3691,   3775,   4601,   5377,   7902, 
/* msg =    858, deg =  6 */     52,   3522,   6826,   7174,   7308,   7947, 
/* msg =    859, deg =  6 */    768,   3846,   4858,   5302,   5876,   6448, 
/* msg =    860, deg =  6 */   2638,   3012,   4615,   5411,   5556,   5834, 
/* msg =    861, deg =  6 */    495,    761,   3171,   6188,   6243,   7904, 
/* msg =    862, deg =  6 */    443,   1080,   2371,   5818,   6974,   7199, 
/* msg =    863, deg =  6 */    258,   3338,   4454,   4480,   5475,   5593, 
/* msg =    864, deg =  6 */    329,   3661,   3735,   4246,   6510,   7154, 
/* msg =    865, deg =  6 */   2352,   2892,   4304,   4308,   5531,   7428, 
/* msg =    866, deg =  6 */    617,    654,   1228,   1466,   6647,   7051, 
/* msg =    867, deg =  6 */   2349,   4931,   5272,   5610,   6669,   7779, 
/* msg =    868, deg =  6 */   1252,   1283,   1350,   3628,   4877,   6189, 
/* msg =    869, deg =  6 */   1136,   2425,   2634,   4493,   5019,   7020, 
/* msg =    870, deg =  6 */    529,   1213,   1520,   3614,   5498,   5849, 
/* msg =    871, deg =  6 */   1173,   2223,   3867,   4665,   4782,   7310, 
/* msg =    872, deg =  6 */    560,   2524,   5596,   5604,   6495,   7229, 
/* msg =    873, deg =  6 */    954,   1889,   4711,   5135,   6281,   7871, 
/* msg =    874, deg =  6 */   1923,   4253,   4571,   6733,   7460,   7873, 
/* msg =    875, deg =  6 */   1551,   1779,   3730,   4549,   5334,   6423, 
/* msg =    876, deg =  6 */    431,   2258,   3073,   5572,   5937,   6056, 
/* msg =    877, deg =  6 */    196,    800,   3889,   4199,   6048,   6509, 
/* msg =    878, deg =  6 */   1058,   1463,   1864,   5848,   6325,   7642, 
/* msg =    879, deg =  6 */    361,    742,   3758,   4555,   5390,   7161, 
/* msg =    880, deg =  6 */   1755,   2275,   3726,   5653,   6907,   6938, 
/* msg =    881, deg =  6 */    473,   2130,   2877,   3258,   3411,   4757, 
/* msg =    882, deg =  6 */   1306,   2253,   2581,   3101,   4987,   5444, 
/* msg =    883, deg =  6 */    310,    809,   3027,   4518,   4666,   7037, 
/* msg =    884, deg =  6 */    627,   1676,   1681,   3200,   3452,   4971, 
/* msg =    885, deg =  6 */    222,   1383,   5715,   6285,   6619,   7534, 
/* msg =    886, deg =  6 */    201,    906,   3327,   6716,   7698,   7844, 
/* msg =    887, deg =  6 */   1262,   2030,   2657,   3451,   5052,   5840, 
/* msg =    888, deg =  6 */   1404,   2874,   4596,   5744,   6931,   6987, 
/* msg =    889, deg =  6 */   1614,   1702,   2030,   3608,   5600,   6630, 
/* msg =    890, deg =  6 */     23,   2865,   4663,   4869,   5567,   7996, 
/* msg =    891, deg =  6 */   1467,   3782,   4057,   4752,   5766,   7464, 
/* msg =    892, deg =  6 */   2201,   3083,   3448,   4159,   5441,   7142, 
/* msg =    893, deg =  6 */   1272,   1771,   2659,   5668,   6538,   7614, 
/* msg =    894, deg =  6 */    591,   1922,   3113,   4803,   5178,   6917, 
/* msg =    895, deg =  6 */    841,   4686,   4834,   5497,   5904,   7098, 
/* msg =    896, deg =  6 */    710,   1037,   3181,   3550,   3737,   5782, 
/* msg =    897, deg =  6 */   1913,   2816,   3445,   4643,   5344,   7116, 
/* msg =    898, deg =  6 */    189,   5124,   7358,   7444,   7538,   7639, 
/* msg =    899, deg =  6 */   1744,   2279,   2523,   4722,   5341,   5768, 
/* msg =    900, deg =  6 */   3088,   3650,   4437,   5575,   6697,   7611, 
/* msg =    901, deg =  6 */   1107,   1455,   1636,   2579,   4621,   7484, 
/* msg =    902, deg =  6 */     93,   2259,   3659,   3847,   5946,   6041, 
/* msg =    903, deg =  6 */   2850,   2919,   3149,   4012,   4086,   6809, 
/* msg =    904, deg =  6 */    615,   2160,   2433,   4370,   7271,   7688, 
/* msg =    905, deg =  6 */    669,   4419,   4876,   6187,   6469,   7267, 
/* msg =    906, deg =  6 */    906,   2489,   3921,   4281,   6901,   7471, 
/* msg =    907, deg =  6 */     76,    111,    173,   1034,   4474,   6221, 
/* msg =    908, deg =  6 */     62,   1764,   1867,   2693,   3233,   5783, 
/* msg =    909, deg =  6 */    142,    663,   2962,   3554,   4036,   4245, 
/* msg =    910, deg =  6 */    934,   1785,   3707,   3788,   6603,   7844, 
/* msg =    911, deg =  6 */    594,   1601,   4284,   5301,   5536,   7883, 
/* msg =    912, deg =  6 */   1171,   1187,   1541,   4515,   4833,   6157, 
/* msg =    913, deg =  6 */    379,    926,    966,   2727,   4478,   7412, 
/* msg =    914, deg =  6 */   1156,   2946,   3394,   3406,   7667,   7924, 
/* msg =    915, deg =  6 */    274,   2125,   3154,   3941,   4121,   5999, 
/* msg =    916, deg =  6 */    530,   2022,   3354,   4639,   5756,   6246, 
/* msg =    917, deg =  6 */   1479,   2487,   3343,   5975,   6223,   7787, 
/* msg =    918, deg =  6 */    525,    731,   4182,   5290,   5330,   6305, 
/* msg =    919, deg =  6 */   1340,   2237,   5304,   6637,   7341,   7480, 
/* msg =    920, deg =  6 */    577,   2413,   4601,   6601,   6662,   7903, 
/* msg =    921, deg =  6 */    145,    794,   3040,   4951,   6316,   6900, 
/* msg =    922, deg =  6 */    648,   2023,   3921,   5313,   5944,   7418, 
/* msg =    923, deg =  6 */   3417,   4262,   4487,   5291,   6210,   7237, 
/* msg =    924, deg =  6 */     37,    701,   1472,   1486,   5645,   7410, 
/* msg =    925, deg =  6 */    718,   1470,   2000,   3072,   4648,   5496, 
/* msg =    926, deg =  6 */   1492,   2041,   5751,   6386,   7235,   7325, 
/* msg =    927, deg =  6 */    980,   2075,   3979,   5372,   5490,   7321, 
/* msg =    928, deg =  6 */    404,    781,   1715,   3139,   4906,   7873, 
/* msg =    929, deg =  6 */    799,   2802,   3034,   4449,   5243,   5503, 
/* msg =    930, deg =  6 */    888,   1698,   3864,   5683,   6895,   7840, 
/* msg =    931, deg =  6 */    642,   2977,   3578,   4496,   4983,   5127, 
/* msg =    932, deg =  6 */   1734,   3909,   4636,   6314,   7670,   7725, 
/* msg =    933, deg =  6 */   1548,   2793,   3216,   4892,   6306,   7496, 
/* msg =    934, deg =  6 */    459,   1259,   1479,   2201,   2276,   4878, 
/* msg =    935, deg =  6 */     63,   1629,   2047,   4005,   6736,   6954, 
/* msg =    936, deg =  6 */   1852,   2120,   2247,   2965,   6002,   7908, 
/* msg =    937, deg =  6 */   1686,   3009,   3276,   5626,   6636,   6794, 
/* msg =    938, deg =  6 */    141,   2326,   4407,   6055,   6120,   7405, 
/* msg =    939, deg =  6 */    394,   1029,   2015,   2606,   4690,   5195, 
/* msg =    940, deg =  6 */    754,    937,   1853,   2912,   3286,   6084, 
/* msg =    941, deg =  6 */   1017,   1302,   3156,   4564,   6205,   7175, 
/* msg =    942, deg =  6 */   2867,   4359,   4517,   5610,   6019,   7528, 
/* msg =    943, deg =  6 */    492,   1635,   2682,   4679,   6565,   7065, 
/* msg =    944, deg =  6 */    512,   1244,   2463,   4408,   5474,   7912, 
/* msg =    945, deg =  6 */   1236,   2482,   2719,   4418,   4871,   5698, 
/* msg =    946, deg =  6 */    759,   1779,   4547,   5818,   6010,   6443, 
/* msg =    947, deg =  6 */   3106,   3368,   4289,   4475,   4580,   4987, 
/* msg =    948, deg =  6 */   1373,   2820,   4519,   5823,   5959,   6601, 
/* msg =    949, deg =  6 */   1749,   4171,   4371,   4967,   5161,   7176, 
/* msg =    950, deg =  6 */    375,    454,    931,   5970,   6349,   6919, 
/* msg =    951, deg =  6 */   1319,   3544,   3816,   4940,   5897,   6997, 
/* msg =    952, deg =  6 */    833,   3999,   4481,   5551,   6432,   7532, 
/* msg =    953, deg =  6 */   2385,   4203,   4273,   5433,   5540,   7162, 
/* msg =    954, deg =  6 */   3202,   4671,   6494,   6799,   7463,   7481, 
/* msg =    955, deg =  6 */     69,    420,   2211,   4338,   4796,   7835, 
/* msg =    956, deg =  6 */    301,   2345,   3541,   4111,   4259,   7856, 
/* msg =    957, deg =  6 */   1824,   5947,   5995,   6115,   6337,   7327, 
/* msg =    958, deg =  6 */   1336,   3511,   3549,   4546,   5210,   6392, 
/* msg =    959, deg =  6 */   1305,   1918,   3544,   3732,   4522,   5549, 
/* msg =    960, deg =  6 */   1563,   2215,   2882,   3490,   5168,   5655, 
/* msg =    961, deg =  6 */   3257,   3509,   4127,   4817,   4855,   7639, 
/* msg =    962, deg =  6 */    602,   3186,   3355,   4237,   5509,   7057, 
/* msg =    963, deg =  6 */    741,   1710,   2300,   4276,   4486,   7792, 
/* msg =    964, deg =  6 */    124,    171,    533,   4558,   4563,   5130, 
/* msg =    965, deg =  6 */    330,   1045,   1404,   1666,   4988,   7241, 
/* msg =    966, deg =  6 */    960,   1759,   3672,   4246,   4579,   6173, 
/* msg =    967, deg =  6 */   1212,   4695,   5287,   5625,   5930,   7688, 
/* msg =    968, deg =  6 */    370,   3452,   3590,   4499,   5537,   6999, 
/* msg =    969, deg =  6 */   2855,   3796,   4111,   6524,   6549,   6651, 
/* msg =    970, deg =  6 */   2404,   4043,   4696,   5009,   6981,   7566, 
/* msg =    971, deg =  6 */    735,   5809,   6023,   6983,   7568,   7817, 
/* msg =    972, deg =  6 */   2996,   3114,   3613,   5114,   5188,   7367, 
/* msg =    973, deg =  6 */   1737,   3243,   3337,   3596,   5880,   5970, 
/* msg =    974, deg =  6 */   2229,   4018,   4104,   5589,   6009,   6309, 
/* msg =    975, deg =  6 */    224,   2790,   4432,   5892,   6112,   7994, 
/* msg =    976, deg =  6 */    989,   1871,   5132,   6774,   7407,   7463, 
/* msg =    977, deg =  6 */    165,   4652,   5841,   6391,   6490,   7405, 
/* msg =    978, deg =  6 */   1358,   2047,   2394,   2835,   3920,   7008, 
/* msg =    979, deg =  6 */     82,   1019,   1460,   4165,   6480,   7319, 
/* msg =    980, deg =  6 */    166,    932,   1183,   1414,   1703,   6868, 
/* msg =    981, deg =  6 */   1955,   2017,   4475,   4493,   6556,   7241, 
/* msg =    982, deg =  6 */    790,   2551,   3394,   4591,   5938,   6612, 
/* msg =    983, deg =  6 */    321,   4004,   4700,   5127,   5154,   6836, 
/* msg =    984, deg =  6 */    555,    816,   4568,   5190,   5894,   7527, 
/* msg =    985, deg =  6 */   3353,   4702,   5819,   5963,   6401,   7056, 
/* msg =    986, deg =  6 */    178,    675,   3052,   4063,   4074,   6474, 
/* msg =    987, deg =  6 */    742,   1699,   5163,   5526,   5678,   7575, 
/* msg =    988, deg =  6 */   1072,   1962,   3637,   4545,   5736,   6133, 
/* msg =    989, deg =  6 */    923,    945,   1122,   3950,   6425,   7796, 
/* msg =    990, deg =  6 */    679,   4326,   4355,   5027,   5491,   7091, 
/* msg =    991, deg =  6 */   1343,   2220,   2687,   4774,   5800,   5831, 
/* msg =    992, deg =  6 */    109,    391,    518,   1583,   2316,   2328, 
/* msg =    993, deg =  6 */   2880,   4080,   5225,   5868,   6622,   6857, 
/* msg =    994, deg =  6 */    194,   2213,   3905,   5421,   5659,   5817, 
/* msg =    995, deg =  6 */   1336,   1694,   5656,   5948,   6894,   7453, 
/* msg =    996, deg =  6 */    270,   1982,   2015,   2292,   3157,   3220, 
/* msg =    997, deg =  6 */   2204,   2804,   4885,   5414,   5832,   6352, 
/* msg =    998, deg =  6 */   2442,   4486,   4942,   5672,   7401,   7758, 
/* msg =    999, deg =  6 */     50,    699,   2002,   2398,   3781,   7025, 
/* msg =   1000, deg =  6 */   2245,   3349,   3942,   4933,   7111,   7409, 
/* msg =   1001, deg =  6 */   1316,   2527,   4281,   4291,   5036,   5503, 
/* msg =   1002, deg =  6 */    281,    866,   1899,   2213,   4013,   5181, 
/* msg =   1003, deg =  6 */    953,   2300,   3092,   4766,   5512,   5594, 
/* msg =   1004, deg =  6 */   1033,   1159,   1208,   3553,   3578,   5147, 
/* msg =   1005, deg =  6 */   2953,   3401,   4207,   4859,   5336,   5990, 
/* msg =   1006, deg =  6 */    478,   2646,   3085,   4602,   4847,   7024, 
/* msg =   1007, deg =  6 */    294,   1464,   3399,   4204,   4996,   7515, 
/* msg =   1008, deg =  6 */   1306,   2262,   3486,   3599,   4734,   6060, 
/* msg =   1009, deg =  6 */    515,    549,   1814,   4396,   5939,   7932, 
/* msg =   1010, deg =  6 */    556,    716,   2346,   2669,   2692,   6053, 
/* msg =   1011, deg =  6 */    311,   3165,   3917,   5987,   7548,   7816, 
/* msg =   1012, deg =  6 */    407,   3643,   4254,   4857,   6999,   7200, 
/* msg =   1013, deg =  6 */   1496,   1933,   4710,   4948,   6610,   6868, 
/* msg =   1014, deg =  6 */    350,    927,   2343,   2649,   3005,   5300, 
/* msg =   1015, deg =  6 */   1206,   5462,   5685,   6903,   7358,   7810, 
/* msg =   1016, deg =  6 */    359,    770,   1955,   4536,   5335,   5870, 
/* msg =   1017, deg =  6 */   1227,   5049,   5476,   5860,   6608,   7641, 
/* msg =   1018, deg =  6 */    625,   2167,   4381,   4501,   4512,   7107, 
/* msg =   1019, deg =  6 */   1315,   2380,   2943,   4864,   6100,   6796, 
/* msg =   1020, deg =  6 */    493,    636,    655,   1044,   1771,   4223, 
/* msg =   1021, deg =  6 */    394,   1119,   3900,   6054,   6453,   7950, 
/* msg =   1022, deg =  6 */    839,   1763,   3002,   3163,   4889,   7542, 
/* msg =   1023, deg =  6 */   1391,   1951,   2329,   5090,   5472,   6654, 
/* msg =   1024, deg =  6 */   1090,   1920,   3301,   4122,   4686,   5846, 
/* msg =   1025, deg =  6 */    950,   1441,   1906,   3252,   6819,   7724, 
/* msg =   1026, deg =  6 */    475,   1175,   2207,   6534,   7045,   7757, 
/* msg =   1027, deg =  6 */    803,   1579,   5627,   6095,   7075,   7587, 
/* msg =   1028, deg =  6 */    711,    868,    992,   1442,   4301,   6654, 
/* msg =   1029, deg =  6 */    397,   2671,   3828,   5159,   5212,   5500, 
/* msg =   1030, deg =  6 */     54,    203,   1184,   3560,   3749,   7753, 
/* msg =   1031, deg =  6 */   1603,   3264,   3277,   3884,   6287,   7691, 
/* msg =   1032, deg =  6 */    598,   1247,   1513,   2706,   3414,   6648, 
/* msg =   1033, deg =  6 */   1024,   1953,   2937,   5963,   6209,   7378, 
/* msg =   1034, deg =  6 */   1182,   1229,   2073,   4608,   6128,   7336, 
/* msg =   1035, deg =  6 */   3256,   5137,   5773,   6426,   6523,   7734, 
/* msg =   1036, deg =  6 */    312,    704,   2571,   4867,   7040,   7501, 
/* msg =   1037, deg =  6 */   2026,   3801,   6709,   7054,   7099,   7643, 
/* msg =   1038, deg =  6 */    430,   1219,   1328,   1426,   1592,   4531, 
/* msg =   1039, deg =  6 */    191,    692,   1634,   3457,   3779,   4848, 
/* msg =   1040, deg =  6 */     35,    648,   3080,   3180,   3545,   5875, 
/* msg =   1041, deg =  6 */    364,   4350,   5279,   5633,   6035,   6422, 
/* msg =   1042, deg =  6 */    810,   2985,   4100,   5464,   5693,   7442, 
/* msg =   1043, deg =  6 */    236,    595,   3163,   4261,   5824,   6676, 
/* msg =   1044, deg =  6 */   1737,   1836,   5095,   5617,   5622,   7275, 
/* msg =   1045, deg =  6 */    214,   1130,   2816,   6019,   6851,   7638, 
/* msg =   1046, deg =  6 */      5,   1357,   1746,   2963,   4548,   7920, 
/* msg =   1047, deg =  6 */    458,    608,   1783,   1920,   3484,   5419, 
/* msg =   1048, deg =  6 */     67,   2857,   3945,   4214,   4241,   6242, 
/* msg =   1049, deg =  6 */    283,   2055,   3876,   4050,   5110,   7069, 
/* msg =   1050, deg =  6 */    743,   1490,   3807,   5783,   5828,   7681, 
/* msg =   1051, deg =  6 */   2861,   3135,   4716,   6235,   6341,   6936, 
/* msg =   1052, deg =  6 */   2231,   2321,   3470,   5868,   7348,   7836, 
/* msg =   1053, deg =  6 */    593,   2912,   3105,   3553,   4621,   7594, 
/* msg =   1054, deg =  6 */    824,   1707,   2397,   3908,   4802,   5426, 
/* msg =   1055, deg =  6 */   4752,   5759,   6190,   6430,   7195,   7584, 
/* msg =   1056, deg =  6 */    925,   1339,   5431,   5951,   6236,   7250, 
/* msg =   1057, deg =  6 */   2469,   2540,   5362,   6687,   6934,   7917, 
/* msg =   1058, deg =  6 */    322,   1288,   1668,   1747,   2310,   4136, 
/* msg =   1059, deg =  6 */   1039,   1129,   1199,   3573,   6822,   7059, 
/* msg =   1060, deg =  6 */   2240,   2840,   4504,   5031,   5863,   7650, 
/* msg =   1061, deg =  6 */   2186,   5225,   6764,   7134,   7196,   7287, 
/* msg =   1062, deg =  6 */   2216,   2482,   3594,   3946,   4077,   4902, 
/* msg =   1063, deg =  6 */   1108,   1604,   3734,   4583,   5833,   6578, 
/* msg =   1064, deg =  6 */   2244,   2863,   5303,   6451,   6728,   7215, 
/* msg =   1065, deg =  6 */   1303,   2195,   3455,   5595,   6704,   7509, 
/* msg =   1066, deg =  6 */    765,   3247,   3929,   4505,   7104,   7969, 
/* msg =   1067, deg =  6 */   1793,   1974,   2565,   3355,   4811,   4974, 
/* msg =   1068, deg =  6 */    565,   2440,   3540,   3871,   5559,   6450, 
/* msg =   1069, deg =  6 */    718,   1020,   2666,   6182,   6342,   7186, 
/* msg =   1070, deg =  6 */     19,    402,   1314,   2492,   7251,   7636, 
/* msg =   1071, deg =  6 */    520,   3386,   3873,   4574,   5187,   7777, 
/* msg =   1072, deg =  6 */   1906,   2497,   4606,   5441,   6011,   7195, 
/* msg =   1073, deg =  6 */    465,    624,   4611,   5019,   6088,   6189, 
/* msg =   1074, deg =  6 */    219,    418,   2399,   2614,   3839,   5188, 
/* msg =   1075, deg =  6 */    240,    489,    915,   2150,   4341,   6235, 
/* msg =   1076, deg =  6 */   1015,   4035,   4334,   4544,   6307,   7256, 
/* msg =   1077, deg =  6 */   1065,   2508,   2526,   3697,   3973,   5067, 
/* msg =   1078, deg =  6 */   1776,   3150,   3383,   5789,   6553,   6962, 
/* msg =   1079, deg =  6 */    379,   2626,   3316,   3623,   6107,   7861, 
/* msg =   1080, deg =  6 */    779,   5847,   6138,   6901,   7044,   7918, 
/* msg =   1081, deg =  6 */   1858,   2733,   3696,   4094,   4673,   6155, 
/* msg =   1082, deg =  6 */    404,   1307,   1993,   3875,   6577,   6947, 
/* msg =   1083, deg =  6 */    938,   3671,   3875,   4258,   5752,   7257, 
/* msg =   1084, deg =  6 */   2169,   6058,   6185,   6413,   7043,   7895, 
/* msg =   1085, deg =  6 */    209,   2069,   4749,   5237,   5369,   7183, 
/* msg =   1086, deg =  6 */   2139,   3157,   4007,   4189,   5021,   6560, 
/* msg =   1087, deg =  6 */    318,    852,   1716,   1778,   3639,   4509, 
/* msg =   1088, deg =  6 */    778,   2470,   4001,   4894,   5162,   5662, 
/* msg =   1089, deg =  6 */    649,    981,   1015,   5901,   7126,   7159, 
/* msg =   1090, deg =  6 */   1459,   1587,   3139,   5372,   7079,   7812, 
/* msg =   1091, deg =  6 */   3683,   4859,   5286,   5563,   6812,   7975, 
/* msg =   1092, deg =  6 */   2278,   5232,   6124,   6300,   6823,   7346, 
/* msg =   1093, deg =  6 */   2882,   3365,   3601,   4146,   4781,   4832, 
/* msg =   1094, deg =  6 */    510,   3645,   4119,   5650,   6623,   7845, 
/* msg =   1095, deg =  6 */   1074,   1083,   2919,   6090,   6464,   7908, 
/* msg =   1096, deg =  6 */    692,   2106,   2784,   3925,   4174,   6818, 
/* msg =   1097, deg =  6 */   1416,   2136,   3380,   5282,   5583,   7542, 
/* msg =   1098, deg =  6 */    124,   2396,   4105,   5334,   5619,   6991, 
/* msg =   1099, deg =  6 */   1403,   2045,   4994,   5323,   5466,   7573, 
/* msg =   1100, deg =  6 */   2616,   3047,   3053,   4604,   5714,   7907, 
/* msg =   1101, deg =  6 */    701,   2510,   3693,   3819,   4700,   6622, 
/* msg =   1102, deg =  6 */    605,    619,    784,   6863,   7149,   7787, 
/* msg =   1103, deg =  6 */    236,   1348,   4264,   4293,   5042,   7380, 
/* msg =   1104, deg =  6 */   1428,   1892,   2034,   3391,   3500,   7934, 
/* msg =   1105, deg =  6 */    537,   1394,   3197,   5792,   6242,   7460, 
/* msg =   1106, deg =  6 */   1230,   4560,   4759,   5539,   6102,   7299, 
/* msg =   1107, deg =  6 */    845,   1430,   2359,   3147,   4691,   5435, 
/* msg =   1108, deg =  6 */   2298,   2489,   2527,   3419,   4984,   6143, 
/* msg =   1109, deg =  6 */    771,    916,   1879,   2458,   3184,   5218, 
/* msg =   1110, deg =  6 */   2703,   3107,   4244,   4247,   5574,   6105, 
/* msg =   1111, deg =  6 */   1348,   1812,   4550,   5215,   5227,   6132, 
/* msg =   1112, deg =  6 */    727,   3224,   4080,   4556,   5906,   6188, 
/* msg =   1113, deg =  6 */    228,   3875,   6072,   6099,   6283,   6859, 
/* msg =   1114, deg =  6 */   1292,   2380,   4077,   4079,   6207,   7674, 
/* msg =   1115, deg =  6 */    190,   1388,   5106,   5115,   6176,   6649, 
/* msg =   1116, deg =  6 */    637,   3343,   4122,   5470,   6297,   7742, 
/* msg =   1117, deg =  6 */    463,    698,   1150,   3920,   5434,   6839, 
/* msg =   1118, deg =  6 */   5514,   7220,   7649,   7673,   7866,   7931, 
/* msg =   1119, deg =  6 */    577,   2764,   3262,   4325,   5469,   7956, 
/* msg =   1120, deg =  6 */    280,   1050,   1088,   2155,   4450,   7425, 
/* msg =   1121, deg =  6 */    666,   3210,   3487,   4091,   4938,   7066, 
/* msg =   1122, deg =  6 */   1099,   2974,   4262,   4278,   4784,   5535, 
/* msg =   1123, deg =  6 */   2909,   3305,   4037,   4472,   5524,   6198, 
/* msg =   1124, deg =  6 */   1020,   2105,   3253,   4688,   5626,   7587, 
/* msg =   1125, deg =  6 */   1066,   2749,   5395,   5972,   6142,   7592, 
/* msg =   1126, deg =  6 */   1543,   2215,   3274,   5312,   5931,   7323, 
/* msg =   1127, deg =  6 */   3307,   4010,   4135,   4923,   7728,   7851, 
/* msg =   1128, deg =  6 */    342,    456,    514,   2306,   5144,   6489, 
/* msg =   1129, deg =  6 */   3111,   4635,   4655,   5406,   5960,   6705, 
/* msg =   1130, deg =  6 */    862,   1413,   1775,   2661,   3308,   7249, 
/* msg =   1131, deg =  6 */   1999,   2379,   3724,   7228,   7334,   7800, 
/* msg =   1132, deg =  6 */    383,    487,   1559,   3763,   7001,   7342, 
/* msg =   1133, deg =  6 */   1370,   2355,   5282,   5800,   6155,   6250, 
/* msg =   1134, deg =  6 */    723,   2588,   5832,   6786,   7284,   7997, 
/* msg =   1135, deg =  6 */    520,   1296,   5159,   5235,   6223,   6705, 
/* msg =   1136, deg =  6 */    841,   1155,   1217,   5719,   6258,   7915, 
/* msg =   1137, deg =  6 */   1021,   2417,   2493,   5873,   6725,   7674, 
/* msg =   1138, deg =  6 */     59,   1784,   3139,   4137,   5787,   7808, 
/* msg =   1139, deg =  6 */    610,   2700,   3172,   4897,   5242,   5253, 
/* msg =   1140, deg =  6 */   1094,   2117,   4092,   4404,   5368,   6299, 
/* msg =   1141, deg =  6 */    544,   1388,   2763,   4226,   5626,   6644, 
/* msg =   1142, deg =  6 */    211,   2397,   2579,   5606,   5643,   5778, 
/* msg =   1143, deg =  6 */   2657,   3970,   4031,   4133,   6182,   6858, 
/* msg =   1144, deg =  6 */    758,    925,   1924,   2297,   6036,   7656, 
/* msg =   1145, deg =  6 */    295,   1216,   2404,   4078,   4420,   5152, 
/* msg =   1146, deg =  6 */   1420,   1607,   1977,   3093,   5744,   5947, 
/* msg =   1147, deg =  6 */    965,   2575,   3532,   6041,   7553,   7572, 
/* msg =   1148, deg =  6 */   1291,   4820,   5128,   6547,   6949,   7117, 
/* msg =   1149, deg =  6 */   1121,   1790,   3415,   3550,   5353,   7186, 
/* msg =   1150, deg =  6 */   2262,   3227,   3446,   3481,   4773,   4789, 
/* msg =   1151, deg =  6 */    907,   1361,   1709,   2446,   3285,   5233, 
/* msg =   1152, deg =  6 */    398,   2358,   3236,   3392,   5830,   7633, 
/* msg =   1153, deg =  6 */    311,   1128,   2912,   3360,   3841,   4800, 
/* msg =   1154, deg =  6 */    726,   1445,   3891,   4862,   7164,   7828, 
/* msg =   1155, deg =  6 */    958,   2007,   6107,   6666,   7057,   7252, 
/* msg =   1156, deg =  6 */    498,   2041,   3446,   4250,   5667,   5843, 
/* msg =   1157, deg =  6 */   1152,   1213,   2061,   2151,   3546,   5881, 
/* msg =   1158, deg =  6 */     93,   1256,   2510,   2688,   4354,   7261, 
/* msg =   1159, deg =  6 */   1774,   5530,   5583,   5883,   6393,   7583, 
/* msg =   1160, deg =  6 */    998,   1094,   1429,   3398,   4114,   7041, 
/* msg =   1161, deg =  6 */      7,   2594,   3320,   3823,   5989,   6716, 
/* msg =   1162, deg =  6 */   1150,   1552,   1933,   2198,   3675,   5414, 
/* msg =   1163, deg =  6 */    709,   1168,   1701,   1986,   2561,   6806, 
/* msg =   1164, deg =  6 */   1828,   2927,   3614,   4766,   7480,   7848, 
/* msg =   1165, deg =  6 */    772,   1156,   4316,   6626,   7404,   7895, 
/* msg =   1166, deg =  6 */    260,    444,    985,   3159,   3318,   6387, 
/* msg =   1167, deg =  6 */    419,   1590,   2687,   4405,   6004,   7467, 
/* msg =   1168, deg =  6 */   2109,   3786,   5007,   5131,   5857,   5925, 
/* msg =   1169, deg =  6 */   1689,   6514,   6837,   7330,   7470,   7560, 
/* msg =   1170, deg =  6 */   1212,   2397,   3001,   4298,   4815,   7893, 
/* msg =   1171, deg =  6 */   1998,   2185,   3622,   4167,   6437,   7377, 
/* msg =   1172, deg =  6 */    807,   2350,   4859,   5960,   6986,   7044, 
/* msg =   1173, deg =  6 */    953,   1658,   2337,   3273,   4592,   6727, 
/* msg =   1174, deg =  6 */   1669,   2101,   2356,   3780,   6027,   6837, 
/* msg =   1175, deg =  6 */    493,   1193,   1639,   3004,   4309,   4390, 
/* msg =   1176, deg =  6 */    345,   1051,   1206,   2165,   2407,   6770, 
/* msg =   1177, deg =  6 */    558,   1942,   4232,   5877,   6164,   7012, 
/* msg =   1178, deg =  6 */     39,    737,   1714,   1727,   3290,   4899, 
/* msg =   1179, deg =  6 */    454,   1653,   2128,   5325,   7334,   7402, 
/* msg =   1180, deg =  6 */    799,   1973,   2769,   5888,   7017,   7409, 
/* msg =   1181, deg =  6 */    914,   3614,   3634,   6697,   7518,   7989, 
/* msg =   1182, deg =  6 */    597,   1257,   2647,   3313,   4641,   7890, 
/* msg =   1183, deg =  6 */   1331,   2310,   2980,   3067,   3504,   7742, 
/* msg =   1184, deg =  6 */   1906,   2637,   3276,   4130,   5977,   6847, 
/* msg =   1185, deg =  6 */    843,   2747,   3577,   5521,   6435,   6591, 
/* msg =   1186, deg =  6 */   1108,   1224,   2667,   5765,   6275,   7843, 
/* msg =   1187, deg =  6 */   1769,   1924,   2638,   4534,   7428,   7796, 
/* msg =   1188, deg =  6 */     77,   2761,   3852,   5306,   7634,   7811, 
/* msg =   1189, deg =  6 */    161,   1341,   3135,   4284,   5797,   6970, 
/* msg =   1190, deg =  6 */    504,    647,    918,   3146,   5470,   6409, 
/* msg =   1191, deg =  6 */    317,    330,   3730,   4591,   6446,   7264, 
/* msg =   1192, deg =  6 */   1052,   3181,   4624,   5274,   6446,   7826, 
/* msg =   1193, deg =  6 */     53,    229,   3009,   5673,   7435,   7541, 
/* msg =   1194, deg =  6 */   1556,   2063,   3383,   3689,   4646,   6835, 
/* msg =   1195, deg =  6 */   1561,   3057,   5621,   6358,   7155,   7344, 
/* msg =   1196, deg =  6 */    185,   1025,   1111,   3768,   5456,   6807, 
/* msg =   1197, deg =  6 */   4622,   5382,   5782,   6056,   6619,   7711, 
/* msg =   1198, deg =  6 */     67,   3871,   4044,   5513,   7743,   7806, 
/* msg =   1199, deg =  6 */   1952,   3418,   3642,   3658,   4412,   6312, 
/* msg =   1200, deg =  6 */    888,   2142,   2630,   4303,   7068,   7578, 
/* msg =   1201, deg =  6 */    250,   1550,   2193,   2439,   4885,   5289, 
/* msg =   1202, deg =  6 */    841,   2235,   3751,   5294,   5767,   6074, 
/* msg =   1203, deg =  6 */   1760,   2090,   2532,   4810,   5185,   5302, 
/* msg =   1204, deg =  6 */    788,   1600,   2724,   3822,   6068,   7921, 
/* msg =   1205, deg =  6 */   2053,   4187,   5472,   5728,   5792,   7125, 
/* msg =   1206, deg =  6 */   2665,   3030,   4836,   5863,   5999,   7666, 
/* msg =   1207, deg =  6 */    705,   3154,   4142,   5160,   6865,   7866, 
/* msg =   1208, deg =  6 */    285,   1300,   3117,   3344,   6758,   7947, 
/* msg =   1209, deg =  6 */   2271,   3036,   3112,   4170,   6783,   7272, 
/* msg =   1210, deg =  6 */   2491,   2905,   4418,   4610,   5453,   7075, 
/* msg =   1211, deg =  6 */    272,    514,   4724,   4867,   6013,   7842, 
/* msg =   1212, deg =  6 */   4011,   5420,   5711,   6212,   7429,   7732, 
/* msg =   1213, deg =  6 */   1634,   2296,   3166,   5051,   5807,   7851, 
/* msg =   1214, deg =  6 */   1967,   2173,   2950,   3649,   6168,   6198, 
/* msg =   1215, deg =  6 */    166,   1596,   4198,   5307,   5508,   6539, 
/* msg =   1216, deg =  6 */    536,   1246,   2558,   2878,   6545,   7049, 
/* msg =   1217, deg =  6 */     52,   1180,   2953,   4755,   5422,   7968, 
/* msg =   1218, deg =  6 */   2296,   2541,   2672,   3109,   3748,   5920, 
/* msg =   1219, deg =  6 */   3520,   3694,   5883,   5952,   6065,   7569, 
/* msg =   1220, deg =  6 */   1251,   2651,   2849,   3115,   3194,   5462, 
/* msg =   1221, deg =  6 */    642,   4196,   4270,   6028,   6483,   7864, 
/* msg =   1222, deg =  6 */    928,   2092,   4491,   5555,   6289,   7576, 
/* msg =   1223, deg =  6 */    449,   1261,   3009,   4917,   5899,   6937, 
/* msg =   1224, deg =  6 */   2036,   2611,   3698,   5926,   7422,   7967, 
/* msg =   1225, deg =  6 */   1461,   4185,   5138,   5456,   6537,   6763, 
/* msg =   1226, deg =  6 */    804,   5472,   5665,   5955,   6302,   6550, 
/* msg =   1227, deg =  6 */    295,   3191,   4055,   4629,   5627,   7165, 
/* msg =   1228, deg =  6 */   1582,   2163,   3053,   3430,   3459,   4947, 
/* msg =   1229, deg =  6 */    185,   2642,   3993,   5104,   5956,   6256, 
/* msg =   1230, deg =  6 */   1429,   1691,   2151,   4071,   4820,   5280, 
/* msg =   1231, deg =  6 */   2412,   3091,   5572,   6851,   7002,   7754, 
/* msg =   1232, deg =  6 */   2190,   2354,   2854,   5157,   7039,   7974, 
/* msg =   1233, deg =  6 */    822,   1944,   1971,   2803,   6471,   7820, 
/* msg =   1234, deg =  6 */   3825,   4825,   5738,   5741,   6842,   7209, 
/* msg =   1235, deg =  6 */    945,   1818,   3141,   3335,   5065,   5985, 
/* msg =   1236, deg =  6 */   2291,   3413,   4329,   4710,   5349,   7760, 
/* msg =   1237, deg =  6 */   2174,   4870,   5907,   5908,   7347,   7561, 
/* msg =   1238, deg =  6 */    287,   1456,   1626,   2017,   2869,   4179, 
/* msg =   1239, deg =  6 */    226,    946,   3442,   6284,   7216,   7896, 
/* msg =   1240, deg =  6 */   2081,   2531,   4447,   5459,   6087,   7588, 
/* msg =   1241, deg =  6 */   1105,   1175,   1231,   1648,   1765,   6832, 
/* msg =   1242, deg =  6 */   1184,   1405,   1447,   3980,   7203,   7292, 
/* msg =   1243, deg =  6 */   1654,   3517,   6513,   6708,   6814,   7211, 
/* msg =   1244, deg =  6 */    522,   1934,   2473,   2990,   6859,   7221, 
/* msg =   1245, deg =  6 */    411,   1050,   1179,   3175,   7318,   7389, 
/* msg =   1246, deg =  6 */     28,   2619,   3020,   3080,   4027,   6494, 
/* msg =   1247, deg =  6 */    689,   2409,   4919,   5223,   5905,   6130, 
/* msg =   1248, deg =  6 */    952,   2699,   3612,   4856,   7179,   7248, 
/* msg =   1249, deg =  6 */    888,   4099,   4345,   4451,   4814,   5607, 
/* msg =   1250, deg =  6 */    384,   3019,   3127,   3325,   5111,   7398, 
/* msg =   1251, deg =  6 */   1008,   2787,   3131,   3723,   5892,   6445, 
/* msg =   1252, deg =  6 */   1957,   2349,   4811,   6440,   7214,   7640, 
/* msg =   1253, deg =  6 */   2432,   2448,   4415,   4841,   5008,   7431, 
/* msg =   1254, deg =  6 */    450,   4088,   4366,   6771,   7110,   7685, 
/* msg =   1255, deg =  6 */   1221,   2197,   5437,   5951,   6173,   7597, 
/* msg =   1256, deg =  6 */     56,   3056,   3342,   3813,   3857,   7291, 
/* msg =   1257, deg =  6 */    468,    867,   3592,   4692,   5430,   6829, 
/* msg =   1258, deg =  6 */     72,   1281,   2109,   3855,   4298,   6678, 
/* msg =   1259, deg =  6 */    152,   1056,   1325,   6042,   6711,   7668, 
/* msg =   1260, deg =  6 */    787,   2010,   3812,   5541,   6013,   7311, 
/* msg =   1261, deg =  6 */    453,    596,   1349,   1599,   2040,   7393, 
/* msg =   1262, deg =  6 */   2472,   2754,   2800,   2976,   4617,   5200, 
/* msg =   1263, deg =  6 */    157,   1315,   3849,   6362,   6967,   7739, 
/* msg =   1264, deg =  6 */    611,   2460,   5419,   5706,   5771,   6333, 
/* msg =   1265, deg =  6 */    757,   1929,   3490,   6219,   7010,   7258, 
/* msg =   1266, deg =  6 */    867,   1536,   2828,   5598,   6065,   7276, 
/* msg =   1267, deg =  6 */   2984,   3968,   4807,   5747,   6406,   6935, 
/* msg =   1268, deg =  6 */    422,   1521,   1904,   3935,   5446,   6294, 
/* msg =   1269, deg =  6 */     70,   1295,   5355,   5708,   6499,   6594, 
/* msg =   1270, deg =  6 */    291,   1157,   1996,   5516,   6595,   6778, 
/* msg =   1271, deg =  6 */   2202,   2789,   2918,   3226,   4580,   4667, 
/* msg =   1272, deg =  6 */    607,   3611,   5221,   5332,   5533,   6565, 
/* msg =   1273, deg =  6 */     35,   3006,   4409,   5625,   6163,   7519, 
/* msg =   1274, deg =  6 */    241,   1001,   2255,   2734,   3246,   5688, 
/* msg =   1275, deg =  6 */   1234,   1495,   4435,   4527,   5397,   7274, 
/* msg =   1276, deg =  6 */    331,   2061,   2566,   7040,   7252,   7514, 
/* msg =   1277, deg =  6 */    570,   6062,   7188,   7324,   7647,   7744, 
/* msg =   1278, deg =  6 */    548,    568,   2233,   3902,   4651,   6560, 
/* msg =   1279, deg =  6 */    275,    518,   3322,   3914,   5819,   6400, 
/* msg =   1280, deg =  6 */    935,   2565,   4190,   4431,   5020,   6435, 
/* msg =   1281, deg =  6 */   3328,   4285,   5108,   6406,   6511,   7528, 
/* msg =   1282, deg =  6 */    304,    432,   2917,   3125,   4312,   7294, 
/* msg =   1283, deg =  6 */    163,    539,   2161,   4494,   5119,   6788, 
/* msg =   1284, deg =  6 */    109,   1994,   2292,   3005,   4758,   4851, 
/* msg =   1285, deg =  6 */   4045,   6038,   6404,   6861,   7160,   7246, 
/* msg =   1286, deg =  6 */   3282,   3733,   4548,   4976,   5211,   6623, 
/* msg =   1287, deg =  6 */    342,    388,   2016,   2952,   4086,   5601, 
/* msg =   1288, deg =  6 */    952,   2851,   5110,   5409,   5948,   7484, 
/* msg =   1289, deg =  6 */   1067,   2584,   4115,   5719,   7370,   7533, 
/* msg =   1290, deg =  6 */    747,   3870,   5053,   7202,   7383,   7913, 
/* msg =   1291, deg =  6 */   1651,   4651,   5307,   6914,   7440,   7483, 
/* msg =   1292, deg =  6 */   1967,   3971,   4055,   4613,   5039,   5425, 
/* msg =   1293, deg =  6 */   1092,   2959,   4477,   4628,   5005,   6118, 
/* msg =   1294, deg =  6 */   1411,   3437,   4013,   5146,   5896,   7059, 
/* msg =   1295, deg =  6 */    221,   1856,   3899,   4523,   6688,   7055, 
/* msg =   1296, deg =  6 */   2960,   3920,   4412,   6333,   6605,   7157, 
/* msg =   1297, deg =  6 */    340,   3278,   5905,   7012,   7205,   7617, 
/* msg =   1298, deg =  6 */     19,    362,    871,   3571,   5937,   7695, 
/* msg =   1299, deg =  6 */    132,   1073,   1942,   2048,   4768,   7661, 
/* msg =   1300, deg =  6 */   2663,   3367,   4944,   6272,   6465,   7390, 
/* msg =   1301, deg =  6 */    898,   3353,   3719,   5273,   5705,   6877, 
/* msg =   1302, deg =  6 */   1939,   2465,   2523,   3993,   4018,   6698, 
/* msg =   1303, deg =  6 */    179,   1282,   2116,   4855,   6402,   6502, 
/* msg =   1304, deg =  6 */   1175,   1907,   2570,   5832,   6665,   7188, 
/* msg =   1305, deg =  6 */   1068,   1626,   5641,   5889,   6064,   7589, 
/* msg =   1306, deg =  6 */    787,    795,   1497,   5010,   5601,   7759, 
/* msg =   1307, deg =  6 */   2207,   2624,   3367,   5438,   6978,   7529, 
/* msg =   1308, deg =  6 */    393,   2516,   3741,   4909,   5321,   5397, 
/* msg =   1309, deg =  6 */    669,   1590,   3786,   5228,   5364,   6811, 
/* msg =   1310, deg =  6 */   2759,   3906,   4356,   4530,   4539,   7049, 
/* msg =   1311, deg =  6 */    118,   1269,   1965,   3118,   5374,   6357, 
/* msg =   1312, deg =  6 */     25,    168,    311,   3184,   3760,   6592, 
/* msg =   1313, deg =  6 */    575,   2846,   2928,   4319,   4343,   5122, 
/* msg =   1314, deg =  6 */    151,   2587,   5791,   6172,   6323,   6744, 
/* msg =   1315, deg =  6 */   2416,   2915,   5180,   5296,   6241,   7942, 
/* msg =   1316, deg =  6 */   1393,   3250,   3950,   4640,   5271,   5507, 
/* msg =   1317, deg =  6 */   2096,   3754,   4070,   4188,   6625,   7347, 
/* msg =   1318, deg =  6 */   2897,   4056,   4296,   4660,   4683,   6331, 
/* msg =   1319, deg =  6 */    387,   3238,   4606,   4660,   5754,   7138, 
/* msg =   1320, deg =  6 */    335,   2436,   2718,   3415,   4125,   5431, 
/* msg =   1321, deg =  6 */    658,    964,   4985,   7462,   7731,   7861, 
/* msg =   1322, deg =  6 */   1000,   5532,   5566,   5757,   5845,   6827, 
/* msg =   1323, deg =  6 */    195,    760,   1173,   2325,   2512,   6220, 
/* msg =   1324, deg =  6 */    772,   2745,   3047,   3497,   4904,   6008, 
/* msg =   1325, deg =  6 */   2501,   3095,   4928,   5159,   6401,   7504, 
/* msg =   1326, deg =  6 */   3535,   3648,   5524,   7005,   7080,   7885, 
/* msg =   1327, deg =  6 */   4350,   4543,   4872,   5043,   5840,   7207, 
/* msg =   1328, deg =  6 */   1196,   2010,   4177,   4328,   5616,   6739, 
/* msg =   1329, deg =  6 */   1058,   1067,   1576,   3255,   4335,   4910, 
/* msg =   1330, deg =  6 */   3203,   3253,   3832,   6282,   6765,   7135, 
/* msg =   1331, deg =  6 */   1484,   4729,   6193,   6248,   7319,   7512, 
/* msg =   1332, deg =  6 */    441,   3887,   4331,   6353,   6498,   6916, 
/* msg =   1333, deg =  6 */    235,    606,   2466,   4473,   5059,   7566, 
/* msg =   1334, deg =  6 */    127,   2174,   2197,   4063,   4250,   7547, 
/* msg =   1335, deg =  6 */    823,   1660,   1957,   2464,   5848,   6161, 
/* msg =   1336, deg =  6 */    282,    319,    510,   2552,   3819,   5664, 
/* msg =   1337, deg =  6 */   3299,   3636,   4552,   4928,   4938,   7747, 
/* msg =   1338, deg =  6 */   1800,   2285,   2610,   4875,   5412,   7565, 
/* msg =   1339, deg =  6 */   1589,   2067,   4207,   5592,   5887,   6054, 
/* msg =   1340, deg =  6 */     76,    686,   1885,   2799,   4877,   4889, 
/* msg =   1341, deg =  6 */   1196,   2492,   5940,   6419,   6933,   7751, 
/* msg =   1342, deg =  6 */    585,    948,   1121,   2192,   6886,   7053, 
/* msg =   1343, deg =  6 */   2425,   2685,   6992,   7255,   7677,   7781, 
/* msg =   1344, deg =  6 */     43,     99,   1829,   2649,   5867,   6602, 
/* msg =   1345, deg =  6 */    574,   3381,   4233,   4634,   6370,   7715, 
/* msg =   1346, deg =  6 */   2340,   3386,   3449,   6521,   7543,   7793, 
/* msg =   1347, deg =  6 */   1754,   1972,   3866,   4404,   5981,   7676, 
/* msg =   1348, deg =  6 */    715,   1851,   3366,   4639,   4738,   6396, 
/* msg =   1349, deg =  6 */   1211,   1485,   1902,   2861,   4974,   5869, 
/* msg =   1350, deg =  6 */   1369,   1707,   1820,   1943,   4046,   6749, 
/* msg =   1351, deg =  6 */    743,   1651,   5150,   6334,   6692,   7439, 
/* msg =   1352, deg =  6 */   2083,   2370,   4822,   5481,   6890,   7353, 
/* msg =   1353, deg =  6 */    447,   1624,   1752,   4302,   4884,   5193, 
/* msg =   1354, deg =  6 */    592,   2282,   3600,   3883,   5406,   6754, 
/* msg =   1355, deg =  6 */    649,   1241,   2933,   3829,   5130,   5447, 
/* msg =   1356, deg =  6 */    269,   1124,   1492,   2518,   5098,   6942, 
/* msg =   1357, deg =  6 */    911,   1160,   4989,   5053,   5599,   6110, 
/* msg =   1358, deg =  6 */   1064,   1453,   4441,   6761,   7345,   7746, 
/* msg =   1359, deg =  6 */    587,   2580,   3234,   4584,   5315,   6111, 
/* msg =   1360, deg =  6 */    234,   2290,   2455,   3224,   3417,   6010, 
/* msg =   1361, deg =  6 */     33,    691,   2154,   3266,   6197,   7258, 
/* msg =   1362, deg =  6 */    408,   1376,   1509,   1823,   2589,   2713, 
/* msg =   1363, deg =  6 */    348,    592,   1239,   3658,   6975,   7521, 
/* msg =   1364, deg =  6 */   3126,   3293,   3712,   3900,   4586,   5151, 
/* msg =   1365, deg =  6 */   2072,   2728,   3655,   3773,   4065,   6926, 
/* msg =   1366, deg =  6 */    773,   4971,   5153,   6384,   7257,   7814, 
/* msg =   1367, deg =  6 */   2706,   2992,   3646,   4083,   6512,   7624, 
/* msg =   1368, deg =  6 */   2748,   3754,   3765,   4076,   5599,   7168, 
/* msg =   1369, deg =  6 */    114,    553,   1705,   3724,   5377,   5816, 
/* msg =   1370, deg =  6 */    708,   1610,   5551,   5682,   6438,   7107, 
/* msg =   1371, deg =  6 */    327,   1151,   2075,   2939,   3186,   7619, 
/* msg =   1372, deg =  6 */   1332,   1558,   4161,   4224,   5569,   7359, 
/* msg =   1373, deg =  6 */   1199,   2458,   3968,   4880,   7419,   7866, 
/* msg =   1374, deg =  6 */     47,    538,   3434,   3953,   5453,   7507, 
/* msg =   1375, deg =  6 */   1312,   2410,   3354,   5533,   5722,   7649, 
/* msg =   1376, deg =  6 */    276,   4224,   4787,   4804,   5104,   5216, 
/* msg =   1377, deg =  6 */    770,   2758,   5410,   5922,   7322,   7683, 
/* msg =   1378, deg =  6 */   2661,   3689,   4175,   4287,   5687,   6232, 
/* msg =   1379, deg =  6 */    697,   3911,   4160,   4236,   5116,   6703, 
/* msg =   1380, deg =  6 */    933,   1158,   1271,   1525,   1559,   4699, 
/* msg =   1381, deg =  6 */    422,   2094,   2539,   3401,   5091,   7665, 
/* msg =   1382, deg =  6 */    475,   2227,   4581,   6000,   6134,   6294, 
/* msg =   1383, deg =  6 */   3231,   5094,   5318,   5921,   6073,   6309, 
/* msg =   1384, deg =  6 */   1580,   1879,   1890,   4904,   7894,   7960, 
/* msg =   1385, deg =  6 */   1572,   1916,   2202,   3416,   3718,   7691, 
/* msg =   1386, deg =  6 */     85,   1060,   3977,   4154,   6265,   6850, 
/* msg =   1387, deg =  6 */    606,   1095,   4098,   4349,   6883,   7047, 
/* msg =   1388, deg =  6 */    557,    593,   2779,   6098,   7383,   7683, 
/* msg =   1389, deg =  6 */    173,    815,   1110,   4392,   4525,   5707, 
/* msg =   1390, deg =  6 */   1899,   3105,   3511,   5232,   5862,   6662, 
/* msg =   1391, deg =  6 */    486,   1122,   1338,   3256,   5438,   5588, 
/* msg =   1392, deg =  6 */    630,   1057,   3686,   4503,   5217,   7660, 
/* msg =   1393, deg =  6 */   3021,   3713,   5843,   6380,   7019,   7620, 
/* msg =   1394, deg =  6 */    604,   3262,   3604,   6014,   7358,   7718, 
/* msg =   1395, deg =  6 */   1046,   1424,   2739,   5751,   5858,   7092, 
/* msg =   1396, deg =  6 */   1167,   1790,   2854,   3511,   5731,   5768, 
/* msg =   1397, deg =  6 */    740,   1276,   1463,   1892,   2261,   5045, 
/* msg =   1398, deg =  6 */    315,   3547,   3647,   5483,   5867,   7221, 
/* msg =   1399, deg =  6 */    152,   1207,   3938,   7391,   7497,   7533, 
/* msg =   1400, deg =  6 */   3719,   3756,   4566,   5037,   5145,   5320, 
/* msg =   1401, deg =  6 */    494,    734,   3676,   4148,   4367,   7127, 
/* msg =   1402, deg =  6 */    385,    491,   1979,   6284,   6587,   7090, 
/* msg =   1403, deg =  6 */   1483,   2097,   4585,   6306,   6527,   6762, 
/* msg =   1404, deg =  6 */      1,   3210,   4428,   5330,   5460,   6121, 
/* msg =   1405, deg =  6 */    192,   1041,   2299,   5449,   5663,   7410, 
/* msg =   1406, deg =  6 */    142,   3260,   3976,   4136,   6602,   7664, 
/* msg =   1407, deg =  6 */    143,    707,   4659,   6439,   6546,   6700, 
/* msg =   1408, deg =  6 */    524,   2774,   5267,   5359,   5718,   7325, 
/* msg =   1409, deg =  6 */   1992,   4014,   6048,   6617,   6896,   7524, 
/* msg =   1410, deg =  6 */   2468,   2910,   3931,   3988,   4685,   6097, 
/* msg =   1411, deg =  6 */   1493,   1687,   5550,   6700,   6985,   7238, 
/* msg =   1412, deg =  6 */    448,    643,   3898,   3953,   6447,   7662, 
/* msg =   1413, deg =  6 */    501,   1783,   2531,   3081,   4289,   4701, 
/* msg =   1414, deg =  6 */   1215,   1525,   2051,   5518,   6185,   7062, 
/* msg =   1415, deg =  6 */    732,   1098,   2084,   3680,   4650,   6601, 
/* msg =   1416, deg =  6 */    176,   1592,   4315,   4528,   4794,   5408, 
/* msg =   1417, deg =  6 */    748,    759,   2420,   3519,   6463,   6587, 
/* msg =   1418, deg =  6 */   3524,   4430,   5808,   6078,   7738,   7884, 
/* msg =   1419, deg =  6 */   3228,   3782,   4070,   6023,   6392,   6428, 
/* msg =   1420, deg =  6 */    763,   1109,   1473,   2137,   5631,   6537, 
/* msg =   1421, deg =  6 */   1589,   2034,   2652,   2877,   6673,   7311, 
/* msg =   1422, deg =  6 */    517,   1311,   1520,   3440,   3471,   5908, 
/* msg =   1423, deg =  6 */    599,   2800,   3615,   4765,   5196,   5716, 
/* msg =   1424, deg =  6 */    623,   1429,   4524,   4541,   5969,   6209, 
/* msg =   1425, deg =  6 */    859,   1708,   4158,   4665,   4862,   7779, 
/* msg =   1426, deg =  6 */     83,   1301,   5049,   5488,   7755,   7822, 
/* msg =   1427, deg =  6 */   1841,   4354,   4816,   4929,   6871,   7210, 
/* msg =   1428, deg =  6 */   2177,   2203,   4746,   4977,   6556,   6783, 
/* msg =   1429, deg =  6 */   2274,   5273,   5354,   5948,   6082,   6747, 
/* msg =   1430, deg =  6 */   1096,   1946,   2601,   5033,   5164,   5350, 
/* msg =   1431, deg =  6 */   2238,   2600,   4692,   4886,   7239,   7945, 
/* msg =   1432, deg =  6 */   1394,   3167,   3874,   4593,   5587,   7092, 
/* msg =   1433, deg =  6 */   2723,   3459,   4371,   4717,   4933,   5167, 
/* msg =   1434, deg =  6 */    132,   5071,   7548,   7580,   7625,   7894, 
/* msg =   1435, deg =  6 */    797,   1568,   1978,   2312,   4286,   5087, 
/* msg =   1436, deg =  6 */   1028,   1060,   1265,   1441,   2837,   3291, 
/* msg =   1437, deg =  6 */    184,   1777,   2469,   4526,   4972,   6917, 
/* msg =   1438, deg =  6 */    951,   2295,   3003,   3380,   3927,   4164, 
/* msg =   1439, deg =  6 */    273,   2935,   3021,   4487,   4699,   6707, 
/* msg =   1440, deg =  6 */   3340,   4998,   5156,   5646,   5994,   7689, 
/* msg =   1441, deg =  6 */    971,   3020,   4668,   5296,   6729,   7508, 
/* msg =   1442, deg =  6 */   1770,   2779,   3239,   4585,   4684,   7544, 
/* msg =   1443, deg =  6 */    935,   3320,   5065,   5127,   7032,   7990, 
/* msg =   1444, deg =  6 */    568,   1595,   2639,   2786,   5003,   6052, 
/* msg =   1445, deg =  6 */   1768,   3165,   3612,   4492,   4515,   7374, 
/* msg =   1446, deg =  6 */   1850,   3973,   4717,   5182,   5585,   7295, 
/* msg =   1447, deg =  6 */    913,   1297,   3433,   4742,   5283,   6219, 
/* msg =   1448, deg =  6 */      4,    705,    856,   3108,   4875,   7217, 
/* msg =   1449, deg =  6 */    910,   1781,   2500,   5351,   6743,   7596, 
/* msg =   1450, deg =  6 */     97,   1363,   3083,   3253,   4705,   5588, 
/* msg =   1451, deg =  6 */    446,    963,   3302,   3868,   6120,   6237, 
/* msg =   1452, deg =  6 */    961,   1417,   1647,   1734,   4373,   6540, 
/* msg =   1453, deg =  6 */   1413,   1415,   3466,   3633,   5181,   5395, 
/* msg =   1454, deg =  6 */    244,   2096,   3121,   3835,   5732,   6997, 
/* msg =   1455, deg =  6 */   1274,   1567,   5135,   5307,   5488,   5806, 
/* msg =   1456, deg =  6 */    126,    542,   3505,   5317,   7665,   7853, 
/* msg =   1457, deg =  6 */    163,    649,   2555,   6192,   6367,   7787, 
/* msg =   1458, deg =  6 */   1197,   1428,   2903,   4930,   6729,   7576, 
/* msg =   1459, deg =  6 */   1651,   5102,   5935,   6501,   7064,   7168, 
/* msg =   1460, deg =  6 */   1410,   4293,   4489,   4508,   5109,   7997, 
/* msg =   1461, deg =  6 */    502,   1226,   2663,   4499,   6773,   6785, 
/* msg =   1462, deg =  6 */    316,    647,   2321,   2819,   4884,   7744, 
/* msg =   1463, deg =  6 */   1461,   2979,   4047,   4282,   4652,   5790, 
/* msg =   1464, deg =  6 */    892,   1758,   2745,   5227,   6046,   6378, 
/* msg =   1465, deg =  6 */    793,   3199,   3805,   3896,   4875,   6661, 
/* msg =   1466, deg =  6 */    914,   1113,   2592,   5197,   7630,   7797, 
/* msg =   1467, deg =  6 */    328,    508,   1141,   2836,   4341,   4906, 
/* msg =   1468, deg =  6 */   1112,   1231,   1268,   2830,   2956,   6681, 
/* msg =   1469, deg =  6 */   1169,   1919,   1964,   5541,   5711,   7041, 
/* msg =   1470, deg =  6 */   1642,   1849,   2883,   6647,   6685,   6968, 
/* msg =   1471, deg =  6 */   2179,   4758,   5683,   6177,   7337,   7912, 
/* msg =   1472, deg =  6 */    125,    782,   3579,   4773,   5324,   5853, 
/* msg =   1473, deg =  6 */   2346,   3493,   3664,   4341,   5126,   6519, 
/* msg =   1474, deg =  6 */    887,   1027,   3051,   5848,   6507,   7397, 
/* msg =   1475, deg =  6 */    116,    263,   1433,   1640,   2304,   6791, 
/* msg =   1476, deg =  6 */    822,   5264,   5540,   5798,   7401,   7772, 
/* msg =   1477, deg =  6 */    798,   2251,   4230,   6075,   6791,   6945, 
/* msg =   1478, deg =  6 */   2551,   4082,   4735,   5543,   7425,   7762, 
/* msg =   1479, deg =  6 */   1406,   3859,   4132,   5089,   7767,   7880, 
/* msg =   1480, deg =  6 */    535,   3753,   5746,   6528,   6847,   7788, 
/* msg =   1481, deg =  6 */   2229,   3023,   3583,   4136,   5649,   6465, 
/* msg =   1482, deg =  6 */   1743,   1944,   4128,   6980,   7399,   7699, 
/* msg =   1483, deg =  6 */    368,    997,   2595,   5446,   6574,   7925, 
/* msg =   1484, deg =  6 */    460,   1586,   2095,   2892,   3345,   7127, 
/* msg =   1485, deg =  6 */    854,   2558,   5475,   6658,   7156,   7800, 
/* msg =   1486, deg =  6 */   1903,   2262,   2756,   3132,   3199,   5451, 
/* msg =   1487, deg =  6 */   1549,   3865,   5737,   6505,   6865,   7503, 
/* msg =   1488, deg =  6 */   2091,   3880,   4332,   4919,   6176,   7136, 
/* msg =   1489, deg =  6 */    107,   1616,   3540,   5394,   5542,   7303, 
/* msg =   1490, deg =  6 */    900,   1736,   4115,   6006,   7276,   7287, 
/* msg =   1491, deg =  6 */   1446,   2368,   2409,   6980,   7033,   7682, 
/* msg =   1492, deg =  6 */    703,   2330,   5035,   5073,   6772,   7205, 
/* msg =   1493, deg =  6 */    441,    688,   1526,   5957,   7001,   7360, 
/* msg =   1494, deg =  6 */   1685,   1945,   2363,   6707,   6889,   7988, 
/* msg =   1495, deg =  6 */    177,   1628,   3749,   3855,   6341,   6925, 
/* msg =   1496, deg =  6 */   2003,   3327,   4446,   5560,   5870,   6336, 
/* msg =   1497, deg =  6 */    602,    845,   1472,   1719,   5430,   6524, 
/* msg =   1498, deg =  6 */   1192,   2161,   3645,   6179,   6493,   6750, 
/* msg =   1499, deg =  6 */     20,    820,   1772,   2048,   7009,   7939, 
/* msg =   1500, deg =  6 */   2125,   3284,   5802,   7580,   7677,   7889, 
/* msg =   1501, deg =  6 */    174,   1757,   2650,   3516,   5789,   7103, 
/* msg =   1502, deg =  6 */   2675,   3371,   3470,   3898,   4860,   6027, 
/* msg =   1503, deg =  6 */    230,   1679,   3464,   3467,   6505,   6613, 
/* msg =   1504, deg =  6 */    365,   1167,   1740,   2269,   4833,   7736, 
/* msg =   1505, deg =  6 */   1454,   1697,   4098,   4201,   5208,   6992, 
/* msg =   1506, deg =  6 */    696,   2424,   4043,   5121,   5125,   5797, 
/* msg =   1507, deg =  6 */    138,    777,   1253,   5126,   5144,   7633, 
/* msg =   1508, deg =  6 */    470,   1983,   2542,   3312,   5463,   7636, 
/* msg =   1509, deg =  6 */    804,   1475,   4777,   5747,   5912,   7612, 
/* msg =   1510, deg =  6 */    801,   2479,   3117,   3549,   3963,   6953, 
/* msg =   1511, deg =  6 */   1605,   2074,   2916,   3374,   3465,   5041, 
/* msg =   1512, deg =  6 */   1695,   2622,   3476,   3894,   4121,   4623, 
/* msg =   1513, deg =  6 */    976,   1505,   1817,   5673,   6029,   7021, 
/* msg =   1514, deg =  6 */    566,    815,   1787,   3177,   4327,   5088, 
/* msg =   1515, deg =  6 */   1494,   1601,   3402,   3909,   4113,   6899, 
/* msg =   1516, deg =  6 */    159,    480,   1170,   3895,   4757,   7096, 
/* msg =   1517, deg =  6 */    874,   1577,   2989,   3409,   3779,   7878, 
/* msg =   1518, deg =  6 */   3065,   3576,   3847,   4006,   5244,   6193, 
/* msg =   1519, deg =  6 */   2367,   2771,   2813,   4226,   5256,   5327, 
/* msg =   1520, deg =  6 */    801,   2572,   3947,   4275,   4878,   6008, 
/* msg =   1521, deg =  6 */   2079,   3904,   4149,   4379,   5753,   7522, 
/* msg =   1522, deg =  6 */     18,   1078,   1842,   2356,   5803,   7018, 
/* msg =   1523, deg =  6 */    430,    471,    885,   1203,   2885,   5607, 
/* msg =   1524, deg =  6 */   2196,   3964,   4188,   5442,   6199,   6566, 
/* msg =   1525, deg =  6 */   1431,   3548,   6311,   6462,   7329,   7700, 
/* msg =   1526, deg =  6 */   1539,   2981,   6171,   7301,   7501,   7823, 
/* msg =   1527, deg =  6 */   1005,   1055,   1532,   2740,   3581,   7110, 
/* msg =   1528, deg =  6 */    193,   2295,   2874,   4455,   5995,   7740, 
/* msg =   1529, deg =  6 */    556,   1979,   2439,   3259,   6449,   7899, 
/* msg =   1530, deg =  6 */    247,   1948,   2104,   2997,   4683,   4732, 
/* msg =   1531, deg =  6 */    409,    804,   2540,   4075,   5562,   6332, 
/* msg =   1532, deg =  6 */    445,   2847,   5642,   7109,   7717,   7812, 
/* msg =   1533, deg =  6 */    687,    805,   2156,   3426,   4980,   5012, 
/* msg =   1534, deg =  6 */    616,   1062,   1543,   3584,   6664,   7950, 
/* msg =   1535, deg =  6 */    243,    979,   2032,   3137,   5937,   7394, 
/* msg =   1536, deg =  6 */   1475,   3526,   5069,   6529,   6740,   7716, 
/* msg =   1537, deg =  6 */    541,   2403,   3957,   4976,   6365,   7559, 
/* msg =   1538, deg =  6 */    936,   2063,   2093,   3767,   5074,   6276, 
/* msg =   1539, deg =  6 */   2585,   2766,   3817,   4053,   5578,   7474, 
/* msg =   1540, deg =  6 */    728,    749,    890,   4040,   4286,   7449, 
/* msg =   1541, deg =  6 */   1899,   3859,   4449,   4713,   7015,   7343, 
/* msg =   1542, deg =  6 */    245,    678,   2552,   5518,   7426,   7772, 
/* msg =   1543, deg =  6 */   2166,   2306,   2440,   3403,   3516,   4575, 
/* msg =   1544, deg =  6 */   1619,   1626,   2444,   4102,   4352,   4821, 
/* msg =   1545, deg =  6 */   1518,   2115,   2391,   5543,   6748,   7808, 
/* msg =   1546, deg =  6 */   1763,   2195,   2594,   4678,   6659,   6924, 
/* msg =   1547, deg =  6 */    406,    479,   1511,   2425,   5354,   7178, 
/* msg =   1548, deg =  6 */    367,    953,   1186,   5082,   5984,   6908, 
/* msg =   1549, deg =  6 */    633,    842,   1176,   2809,   5284,   5384, 
/* msg =   1550, deg =  6 */    429,   3272,   4240,   5373,   6320,   6757, 
/* msg =   1551, deg =  6 */   1310,   1773,   3264,   5973,   6415,   7316, 
/* msg =   1552, deg =  6 */    192,   1383,   2040,   4472,   5189,   7407, 
/* msg =   1553, deg =  6 */    525,    840,   4385,   4756,   5071,   5971, 
/* msg =   1554, deg =  6 */    515,   1519,   2915,   5182,   7751,   7752, 
/* msg =   1555, deg =  6 */    241,   2486,   2956,   5962,   6040,   6331, 
/* msg =   1556, deg =  6 */   2062,   3684,   3817,   4423,   4795,   6849, 
/* msg =   1557, deg =  6 */    645,   1038,   2720,   3005,   3194,   7763, 
/* msg =   1558, deg =  6 */   1097,   1663,   1773,   2794,   4635,   6272, 
/* msg =   1559, deg =  6 */   1226,   2265,   2722,   3777,   3851,   4263, 
/* msg =   1560, deg =  6 */     45,   1369,   1861,   4969,   6162,   6561, 
/* msg =   1561, deg =  6 */   1504,   1595,   3300,   4841,   5547,   6373, 
/* msg =   1562, deg =  6 */    410,   2282,   2536,   6725,   6779,   7451, 
/* msg =   1563, deg =  6 */    986,   1308,   1607,   1679,   7312,   7698, 
/* msg =   1564, deg =  6 */    793,    897,   2900,   3198,   3522,   6078, 
/* msg =   1565, deg =  6 */     42,   2438,   3232,   4219,   6326,   7848, 
/* msg =   1566, deg =  6 */   1694,   1956,   2730,   4079,   5067,   7094, 
/* msg =   1567, deg =  6 */   3915,   5044,   5511,   6732,   7621,   7718, 
/* msg =   1568, deg =  6 */   2499,   3029,   5466,   5822,   6502,   7396, 
/* msg =   1569, deg =  6 */   1240,   1724,   2615,   4249,   4513,   6962, 
/* msg =   1570, deg =  6 */     34,     66,    534,   2077,   3245,   3346, 
/* msg =   1571, deg =  6 */    252,   2143,   2620,   5808,   7237,   7991, 
/* msg =   1572, deg =  6 */    162,    598,    987,   1884,   2893,   3840, 
/* msg =   1573, deg =  6 */   1831,   5621,   5743,   6021,   7266,   7278, 
/* msg =   1574, deg =  6 */    540,   1098,   1110,   4602,   5327,   5837, 
/* msg =   1575, deg =  6 */    839,   2750,   3296,   3563,   6458,   6876, 
/* msg =   1576, deg =  6 */   1505,   4356,   4796,   5337,   6585,   6692, 
/* msg =   1577, deg =  6 */   1147,   2864,   3412,   4208,   7483,   7570, 
/* msg =   1578, deg =  6 */   1061,   2814,   3913,   5774,   6171,   7133, 
/* msg =   1579, deg =  6 */   1286,   1556,   4954,   5182,   6035,   7526, 
/* msg =   1580, deg =  6 */    357,   3716,   3859,   4295,   5633,   6041, 
/* msg =   1581, deg =  6 */    543,    936,   1747,   1806,   3184,   4320, 
/* msg =   1582, deg =  6 */   1904,   1936,   2641,   3194,   4624,   5517, 
/* msg =   1583, deg =  6 */    722,    754,   2855,   4982,   5637,   5953, 
/* msg =   1584, deg =  6 */   1001,   2181,   4424,   6396,   6468,   6554, 
/* msg =   1585, deg =  6 */    767,   3854,   4419,   4708,   5564,   7651, 
/* msg =   1586, deg =  6 */    417,   1139,   3461,   3464,   3985,   7549, 
/* msg =   1587, deg =  6 */   1948,   5771,   6074,   6159,   6547,   6562, 
/* msg =   1588, deg =  6 */   2723,   4239,   5404,   7339,   7465,   7834, 
/* msg =   1589, deg =  6 */   1680,   2595,   2712,   3438,   3757,   3876, 
/* msg =   1590, deg =  6 */    252,   2232,   2333,   2999,   3952,   4910, 
/* msg =   1591, deg =  6 */     61,    351,   3518,   5510,   5784,   7472, 
/* msg =   1592, deg =  6 */   3259,   3816,   3934,   5354,   5726,   6960, 
/* msg =   1593, deg =  6 */    571,   1218,   3457,   3821,   4978,   5328, 
/* msg =   1594, deg =  6 */    977,   1833,   4510,   4575,   5514,   6278, 
/* msg =   1595, deg =  6 */    703,   2850,   3443,   4290,   4717,   6077, 
/* msg =   1596, deg =  6 */    157,   1624,   1706,   1945,   3036,   7513, 
/* msg =   1597, deg =  6 */   1821,   3271,   4258,   5022,   5457,   5879, 
/* msg =   1598, deg =  6 */   1124,   1344,   1517,   2111,   2133,   7561, 
/* msg =   1599, deg =  6 */   2222,   4307,   4498,   6564,   6904,   6976, 
/* msg =   1600, deg =  6 */   1010,   1741,   4210,   4640,   4823,   6409, 
/* msg =   1601, deg =  6 */   1601,   4274,   5440,   5579,   5780,   6347, 
/* msg =   1602, deg =  6 */    776,    917,   1329,   2780,   3556,   6915, 
/* msg =   1603, deg =  6 */    568,   4117,   5333,   5872,   6322,   7961, 
/* msg =   1604, deg =  6 */    458,   1786,   2387,   3888,   4901,   6909, 
/* msg =   1605, deg =  6 */    432,   1054,   1989,   4163,   5802,   6552, 
/* msg =   1606, deg =  6 */    451,   3783,   4403,   5312,   6685,   7086, 
/* msg =   1607, deg =  6 */    158,   2404,   3706,   4237,   4413,   7163, 
/* msg =   1608, deg =  6 */     10,    511,   3696,   4227,   4359,   6557, 
/* msg =   1609, deg =  6 */   2437,   3104,   4229,   4721,   4793,   6045, 
/* msg =   1610, deg =  6 */   1499,   2058,   2525,   4255,   6126,   7929, 
/* msg =   1611, deg =  6 */    631,   1258,   3398,   3541,   5252,   5316, 
/* msg =   1612, deg =  6 */    137,   1848,   2045,   3513,   3960,   7307, 
/* msg =   1613, deg =  6 */   1582,   4551,   5655,   5690,   5934,   6424, 
/* msg =   1614, deg =  6 */    633,   3939,   4826,   6814,   7179,   7628, 
/* msg =   1615, deg =  6 */    256,   2720,   3776,   4609,   5743,   7182, 
/* msg =   1616, deg =  6 */    550,    632,   1320,   2582,   5564,   7003, 
/* msg =   1617, deg =  6 */     30,    287,   2110,   7406,   7637,   7895, 
/* msg =   1618, deg =  6 */    826,   1109,   1787,   3082,   7634,   7914, 
/* msg =   1619, deg =  6 */   1462,   4200,   5177,   5609,   7794,   7905, 
/* msg =   1620, deg =  6 */    647,   1880,   5387,   6789,   7278,   7968, 
/* msg =   1621, deg =  6 */   1352,   2839,   3307,   3492,   4093,   5584, 
/* msg =   1622, deg =  6 */     30,   1680,   2286,   4787,   7430,   7765, 
/* msg =   1623, deg =  6 */   1594,   4367,   4540,   5213,   5285,   7789, 
/* msg =   1624, deg =  6 */   1246,   1780,   3600,   4745,   4956,   5450, 
/* msg =   1625, deg =  6 */     55,    724,   2168,   2603,   3577,   7092, 
/* msg =   1626, deg =  6 */   1796,   1851,   3986,   4067,   5796,   6363, 
/* msg =   1627, deg =  6 */    121,    268,    630,   2403,   2585,   7888, 
/* msg =   1628, deg =  6 */    417,   2867,   3147,   4508,   7650,   7655, 
/* msg =   1629, deg =  6 */    920,   1628,   2794,   3788,   5727,   5736, 
/* msg =   1630, deg =  6 */   4179,   4785,   6043,   6204,   6252,   6880, 
/* msg =   1631, deg =  6 */    693,   1198,   1306,   2174,   2681,   7962, 
/* msg =   1632, deg =  6 */    335,    411,   3052,   3632,   5954,   6965, 
/* msg =   1633, deg =  6 */   2172,   3137,   4355,   5094,   5810,   5958, 
/* msg =   1634, deg =  6 */    386,    516,   2107,   3406,   3482,   7990, 
/* msg =   1635, deg =  6 */    147,   1453,   2656,   3611,   7181,   7899, 
/* msg =   1636, deg =  6 */    646,   2015,   3484,   4731,   5726,   6510, 
/* msg =   1637, deg =  6 */   2127,   2168,   3378,   7350,   7811,   7859, 
/* msg =   1638, deg =  6 */      6,   1507,   3877,   5116,   5226,   6150, 
/* msg =   1639, deg =  6 */     29,   1383,   2157,   4761,   6829,   7124, 
/* msg =   1640, deg =  6 */   3593,   3670,   3988,   4007,   5172,   7634, 
/* msg =   1641, deg =  6 */    969,   2165,   5271,   5929,   6011,   7737, 
/* msg =   1642, deg =  6 */   1124,   1362,   1615,   2086,   5281,   6893, 
/* msg =   1643, deg =  6 */   1523,   3799,   3903,   4463,   6691,   7314, 
/* msg =   1644, deg =  6 */    799,   3022,   3830,   5171,   5214,   5257, 
/* msg =   1645, deg =  6 */   1560,   2642,   3501,   4170,   4911,   6108, 
/* msg =   1646, deg =  6 */   1117,   1139,   2159,   3154,   4981,   7246, 
/* msg =   1647, deg =  6 */    518,    806,   5224,   5322,   6745,   7591, 
/* msg =   1648, deg =  6 */   1994,   2771,   3714,   6175,   7226,   7504, 
/* msg =   1649, deg =  6 */    378,   1064,   1603,   2000,   4627,   7835, 
/* msg =   1650, deg =  6 */    175,   1586,   2433,   2583,   2627,   4331, 
/* msg =   1651, deg =  6 */   1017,   3229,   3540,   4096,   6508,   7001, 
/* msg =   1652, deg =  6 */     57,    872,   5278,   6141,   7430,   7840, 
/* msg =   1653, deg =  6 */   1047,   2921,   3017,   3588,   3636,   4340, 
/* msg =   1654, deg =  6 */    541,   3278,   5256,   5339,   5346,   7245, 
/* msg =   1655, deg =  6 */    110,   2450,   5823,   6224,   7203,   7281, 
/* msg =   1656, deg =  6 */    829,   3764,   3839,   5815,   6140,   7624, 
/* msg =   1657, deg =  6 */   2078,   2714,   2926,   4069,   6836,   7745, 
/* msg =   1658, deg =  6 */    483,   1187,   1564,   5312,   5442,   5728, 
/* msg =   1659, deg =  6 */   1357,   2200,   3113,   4968,   5153,   6097, 
/* msg =   1660, deg =  6 */   2099,   4724,   5202,   6275,   6470,   7748, 
/* msg =   1661, deg =  6 */   1151,   1237,   2020,   3177,   3586,   7803, 
/* msg =   1662, deg =  6 */    915,   1591,   3216,   4453,   4684,   5675, 
/* msg =   1663, deg =  6 */    396,   2117,   3209,   5953,   6755,   7005, 
/* msg =   1664, deg =  6 */    970,   1414,   2019,   3799,   5620,   7072, 
/* msg =   1665, deg =  6 */    354,    766,   1323,   4644,   6428,   6559, 
/* msg =   1666, deg =  6 */    399,   2777,   4171,   4578,   5487,   6853, 
/* msg =   1667, deg =  6 */   1501,   2583,   4862,   5772,   6767,   7574, 
/* msg =   1668, deg =  6 */   1591,   2872,   3924,   4010,   6957,   7309, 
/* msg =   1669, deg =  6 */    227,   1387,   2692,   3174,   3428,   5577, 
/* msg =   1670, deg =  6 */    223,    350,   2184,   2186,   3805,   4679, 
/* msg =   1671, deg =  6 */   2104,   3394,   5153,   5939,   6028,   6673, 
/* msg =   1672, deg =  6 */    433,   2781,   3224,   3990,   6132,   6847, 
/* msg =   1673, deg =  6 */    425,   2454,   3912,   6073,   6971,   7002, 
/* msg =   1674, deg =  6 */   4220,   4362,   6219,   6438,   7324,   7971, 
/* msg =   1675, deg =  6 */    137,    588,    846,   1037,   1748,   7992, 
/* msg =   1676, deg =  6 */   1791,   5194,   5928,   6792,   6918,   7173, 
/* msg =   1677, deg =  6 */    146,    195,   2905,   3776,   4433,   6100, 
/* msg =   1678, deg =  6 */   1584,   2679,   3120,   3564,   5205,   5299, 
/* msg =   1679, deg =  6 */    170,    840,   2550,   3858,   4791,   7156, 
/* msg =   1680, deg =  6 */   1334,   2348,   3062,   3536,   6840,   7364, 
/* msg =   1681, deg =  6 */   1425,   1965,   3110,   4415,   4657,   5155, 
/* msg =   1682, deg =  6 */   1089,   2468,   3962,   4317,   5193,   7367, 
/* msg =   1683, deg =  6 */   2740,   2935,   6525,   6797,   7629,   7944, 
/* msg =   1684, deg =  6 */    211,    562,   4670,   6381,   7557,   7606, 
/* msg =   1685, deg =  6 */    486,    983,   2081,   3731,   6266,   6620, 
/* msg =   1686, deg =  6 */     29,    454,   2044,   2798,   3254,   4358, 
/* msg =   1687, deg =  6 */   3290,   3339,   3915,   5834,   7737,   7765, 
/* msg =   1688, deg =  6 */     40,    902,   2178,   5228,   5359,   6496, 
/* msg =   1689, deg =  6 */    237,   1310,   1780,   4294,   4808,   4897, 
/* msg =   1690, deg =  6 */   1587,   2200,   2826,   2973,   3346,   4263, 
/* msg =   1691, deg =  6 */   2929,   4217,   5561,   6149,   6695,   7333, 
/* msg =   1692, deg =  6 */    599,    912,   2335,   2867,   3813,   4376, 
/* msg =   1693, deg =  6 */   1181,   1331,   2009,   5576,   6856,   7774, 
/* msg =   1694, deg =  6 */    981,   1969,   2029,   3022,   4549,   6044, 
/* msg =   1695, deg =  6 */    943,   2149,   2491,   3985,   7076,   7441, 
/* msg =   1696, deg =  6 */   1844,   2031,   2731,   6299,   6885,   7995, 
/* msg =   1697, deg =  6 */   1209,   2102,   3565,   4270,   4699,   6872, 
/* msg =   1698, deg =  6 */   2350,   3918,   4408,   5028,   6773,   6788, 
/* msg =   1699, deg =  6 */   1186,   2998,   4985,   5347,   6239,   7564, 
/* msg =   1700, deg =  6 */   1097,   1317,   2612,   5837,   7068,   7709, 
/* msg =   1701, deg =  6 */   2266,   4093,   4749,   5402,   5644,   7166, 
/* msg =   1702, deg =  6 */   2273,   2495,   3837,   6328,   6599,   6937, 
/* msg =   1703, deg =  6 */   1249,   1450,   2390,   3249,   6352,   7968, 
/* msg =   1704, deg =  6 */   1148,   2071,   3242,   6721,   6736,   6895, 
/* msg =   1705, deg =  6 */     86,    205,    902,   4019,   4235,   4801, 
/* msg =   1706, deg =  6 */    483,   2228,   3248,   3370,   5206,   7918, 
/* msg =   1707, deg =  6 */   2276,   5139,   5444,   5717,   6233,   7470, 
/* msg =   1708, deg =  6 */    380,   1031,   6452,   6572,   6724,   7521, 
/* msg =   1709, deg =  6 */   2054,   2972,   3072,   3514,   5196,   7306, 
/* msg =   1710, deg =  6 */    942,   1678,   4566,   5102,   5166,   6254, 
/* msg =   1711, deg =  6 */    165,    854,   2709,   3411,   5119,   5921, 
/* msg =   1712, deg =  6 */    170,   1755,   2211,   2573,   3790,   4748, 
/* msg =   1713, deg =  6 */    109,   1303,   1855,   3241,   3638,   6199, 
/* msg =   1714, deg =  6 */    126,   3077,   4709,   6181,   6535,   7710, 
/* msg =   1715, deg =  6 */    443,   2544,   3423,   6109,   7087,   7438, 
/* msg =   1716, deg =  6 */    538,    838,   1423,   4403,   5758,   6061, 
/* msg =   1717, deg =  6 */    903,   2721,   3465,   4689,   6878,   7334, 
/* msg =   1718, deg =  6 */   1808,   1881,   2673,   4392,   4857,   5177, 
/* msg =   1719, deg =  6 */    201,   2616,   2884,   4741,   5778,   6969, 
/* msg =   1720, deg =  6 */    307,   2824,   3196,   5845,   7681,   7924, 
/* msg =   1721, deg =  6 */   1300,   5290,   5353,   6394,   7513,   7842, 
/* msg =   1722, deg =  6 */    847,    894,   1459,   3238,   3996,   4433, 
/* msg =   1723, deg =  6 */   1069,   1818,   4066,   6505,   7225,   7462, 
/* msg =   1724, deg =  6 */   3054,   4530,   5958,   6660,   7206,   7773, 
/* msg =   1725, deg =  6 */    226,    789,   3149,   4824,   4881,   5191, 
/* msg =   1726, deg =  6 */   4849,   4963,   5138,   6327,   6696,   7024, 
/* msg =   1727, deg =  6 */   1391,   2277,   2326,   2681,   3585,   3698, 
/* msg =   1728, deg =  6 */   2475,   2520,   4034,   4592,   7349,   7922, 
/* msg =   1729, deg =  6 */   1690,   3157,   3858,   4061,   5520,   6268, 
/* msg =   1730, deg =  6 */    730,    798,   1423,   3943,   4650,   6973, 
/* msg =   1731, deg =  6 */    107,    151,   3029,   4233,   4992,   6951, 
/* msg =   1732, deg =  6 */   1822,   1974,   2364,   5733,   6196,   6461, 
/* msg =   1733, deg =  6 */   1944,   4009,   4244,   5854,   6715,   7050, 
/* msg =   1734, deg =  6 */    550,   2270,   3408,   4916,   6332,   6354, 
/* msg =   1735, deg =  6 */   3297,   3523,   3917,   5326,   5651,   6667, 
/* msg =   1736, deg =  6 */      6,    116,   5603,   6394,   6495,   6682, 
/* msg =   1737, deg =  6 */   2944,   4470,   4737,   6641,   7008,   7103, 
/* msg =   1738, deg =  6 */    533,    694,   1457,   1820,   2716,   5009, 
/* msg =   1739, deg =  6 */   1163,   1846,   3099,   4067,   7362,   7386, 
/* msg =   1740, deg =  6 */    880,   3991,   5011,   5064,   5347,   6588, 
/* msg =   1741, deg =  6 */   1094,   3382,   4269,   5717,   7686,   7979, 
/* msg =   1742, deg =  6 */   1162,   1994,   3756,   5423,   5501,   6527, 
/* msg =   1743, deg =  6 */    549,   3326,   6380,   6657,   6763,   7590, 
/* msg =   1744, deg =  6 */    547,   2233,   5224,   5597,   6098,   6197, 
/* msg =   1745, deg =  6 */   2031,   5001,   6331,   6633,   7574,   7746, 
/* msg =   1746, deg =  6 */    403,   2290,   3837,   4564,   7208,   7882, 
/* msg =   1747, deg =  6 */   1452,   1719,   2393,   3134,   3992,   4257, 
/* msg =   1748, deg =  6 */    415,   3254,   4575,   4692,   4865,   5112, 
/* msg =   1749, deg =  6 */    904,   3533,   4902,   5366,   6004,   7685, 
/* msg =   1750, deg =  6 */    100,   2793,   2802,   4019,   5529,   5920, 
/* msg =   1751, deg =  6 */   2149,   2406,   3080,   4605,   6080,   7110, 
/* msg =   1752, deg =  6 */    426,    610,   1433,   2273,   7210,   7926, 
/* msg =   1753, deg =  6 */   1363,   2444,   4084,   4789,   5432,   7692, 
/* msg =   1754, deg =  6 */    837,   3262,   4001,   4020,   6686,   6943, 
/* msg =   1755, deg =  6 */   1126,   1554,   3397,   4149,   4306,   5500, 
/* msg =   1756, deg =  6 */    275,    991,   4222,   4524,   4678,   6067, 
/* msg =   1757, deg =  6 */   1450,   1533,   1830,   2871,   3600,   7615, 
/* msg =   1758, deg =  6 */   1103,   2370,   3331,   3437,   4084,   6778, 
/* msg =   1759, deg =  6 */    373,    668,   2347,   2593,   3288,   6230, 
/* msg =   1760, deg =  6 */    420,   1750,   4569,   4719,   5793,   6899, 
/* msg =   1761, deg =  6 */   1970,   2411,   2485,   3602,   6253,   7022, 
/* msg =   1762, deg =  6 */   1498,   3321,   3332,   3667,   3701,   5265, 
/* msg =   1763, deg =  6 */   1390,   1392,   2941,   3991,   4173,   6872, 
/* msg =   1764, deg =  6 */   2449,   2899,   3570,   5968,   6421,   6747, 
/* msg =   1765, deg =  6 */   1507,   3187,   3937,   6277,   6632,   7169, 
/* msg =   1766, deg =  6 */   1569,   2739,   4151,   5452,   7101,   7621, 
/* msg =   1767, deg =  6 */    581,   2419,   6335,   6748,   7433,   7739, 
/* msg =   1768, deg =  6 */   1236,   1617,   2394,   4443,   4735,   7375, 
/* msg =   1769, deg =  6 */    106,    668,   1834,   6071,   6800,   7978, 
/* msg =   1770, deg =  6 */    853,   3695,   6390,   6749,   6776,   7852, 
/* msg =   1771, deg =  6 */   1992,   2059,   3000,   4363,   5551,   6208, 
/* msg =   1772, deg =  6 */   2545,   3261,   7146,   7446,   7818,   7948, 
/* msg =   1773, deg =  6 */   2085,   2481,   2525,   4064,   5011,   6470, 
/* msg =   1774, deg =  6 */   3904,   4339,   4782,   5088,   5133,   5493, 
/* msg =   1775, deg =  6 */    506,   1606,   3641,   6186,   6486,   7962, 
/* msg =   1776, deg =  6 */    431,    872,   3270,   4029,   4248,   6119, 
/* msg =   1777, deg =  6 */    967,   1434,   1845,   2226,   3498,   4446, 
/* msg =   1778, deg =  6 */   2643,   3042,   3078,   4000,   4052,   6844, 
/* msg =   1779, deg =  6 */   3197,   4874,   5962,   6265,   6654,   7352, 
/* msg =   1780, deg =  6 */   2253,   3679,   5129,   6600,   7711,   7741, 
/* msg =   1781, deg =  6 */   2398,   2462,   2652,   3733,   4595,   4925, 
/* msg =   1782, deg =  6 */    517,   2879,   3609,   6002,   6408,   6544, 
/* msg =   1783, deg =  6 */   1099,   1866,   4849,   4866,   5569,   5765, 
/* msg =   1784, deg =  6 */   1418,   1997,   2978,   2994,   3601,   6809, 
/* msg =   1785, deg =  6 */    134,    430,   5442,   5830,   6256,   7063, 
/* msg =   1786, deg =  6 */   1998,   2009,   2191,   2305,   3403,   5760, 
/* msg =   1787, deg =  6 */   3334,   4382,   5173,   6177,   6479,   7669, 
/* msg =   1788, deg =  6 */    381,   2072,   2302,   2859,   3881,   6275, 
/* msg =   1789, deg =  6 */   2039,   3293,   5246,   5405,   6355,   7102, 
/* msg =   1790, deg =  6 */    707,   2062,   2689,   3957,   4455,   6833, 
/* msg =   1791, deg =  6 */   1007,   1864,   3582,   4425,   4505,   6164, 
/* msg =   1792, deg =  6 */   1056,   1931,   2516,   4264,   7280,   7813, 
/* msg =   1793, deg =  6 */    531,   1375,   1478,   1975,   7184,   7495, 
/* msg =   1794, deg =  6 */    363,    438,   2198,   3252,   6125,   6138, 
/* msg =   1795, deg =  6 */    520,   2887,   2982,   4368,   5278,   5812, 
/* msg =   1796, deg =  6 */   1449,   3500,   4048,   5164,   6835,   7654, 
/* msg =   1797, deg =  6 */   1253,   1528,   1865,   2913,   3024,   6775, 
/* msg =   1798, deg =  6 */    609,   2351,   2811,   5770,   6952,   7498, 
/* msg =   1799, deg =  6 */     83,   1941,   2771,   3308,   4109,   7632, 
/* msg =   1800, deg =  6 */     98,    821,   1220,   3824,   6900,   7752, 
/* msg =   1801, deg =  6 */   2112,   3179,   3660,   4411,   6323,   7107, 
/* msg =   1802, deg =  6 */   1618,   1620,   4147,   5901,   6248,   7555, 
/* msg =   1803, deg =  6 */   3515,   3613,   3836,   6843,   7371,   7585, 
/* msg =   1804, deg =  6 */    115,   2389,   4150,   4961,   5938,   6120, 
/* msg =   1805, deg =  6 */    957,   5582,   5701,   6931,   7030,   7387, 
/* msg =   1806, deg =  6 */    468,   3558,   5111,   6919,   7595,   7803, 
/* msg =   1807, deg =  6 */    387,    505,    610,   1827,   5037,   7986, 
/* msg =   1808, deg =  6 */     16,   1657,   2241,   3615,   4943,   7450, 
/* msg =   1809, deg =  6 */    445,   2169,   3723,   5011,   7198,   7678, 
/* msg =   1810, deg =  6 */   2014,   2533,   3432,   3686,   3700,   4202, 
/* msg =   1811, deg =  6 */    339,   4343,   5460,   6305,   7412,   7995, 
/* msg =   1812, deg =  6 */   2080,   2100,   3246,   3665,   4094,   7962, 
/* msg =   1813, deg =  6 */   1481,   2154,   4318,   5108,   7027,   7324, 
/* msg =   1814, deg =  6 */   1498,   2515,   2724,   6031,   7639,   7773, 
/* msg =   1815, deg =  6 */    939,   1251,   1515,   2963,   4564,   7830, 
/* msg =   1816, deg =  6 */     60,    789,   2682,   3874,   3966,   7315, 
/* msg =   1817, deg =  6 */   2302,   3365,   5874,   5942,   6459,   6820, 
/* msg =   1818, deg =  6 */   1121,   1864,   2247,   4266,   4388,   7838, 
/* msg =   1819, deg =  6 */    217,    396,   1298,   1873,   4805,   6087, 
/* msg =   1820, deg =  6 */   1834,   3494,   6328,   7007,   7262,   7823, 
/* msg =   1821, deg =  6 */    110,    817,   1959,   2097,   5943,   7094, 
/* msg =   1822, deg =  6 */    169,   1060,   4004,   5813,   6048,   7911, 
/* msg =   1823, deg =  6 */    146,   2701,   3126,   4072,   5370,   7783, 
/* msg =   1824, deg =  6 */   2342,   2405,   2604,   5018,   5864,   6246, 
/* msg =   1825, deg =  6 */   2483,   2965,   3418,   3593,   4698,   7448, 
/* msg =   1826, deg =  6 */    998,   2474,   3172,   3736,   5434,   6400, 
/* msg =   1827, deg =  6 */    803,   2415,   6183,   6718,   6909,   7780, 
/* msg =   1828, deg =  6 */    344,   1704,   2368,   2399,   4565,   5013, 
/* msg =   1829, deg =  6 */   1136,   3450,   5341,   5651,   5756,   7289, 
/* msg =   1830, deg =  6 */    186,    817,   1686,   3494,   5797,   7486, 
/* msg =   1831, deg =  6 */   1374,   5233,   5269,   5555,   6104,   6788, 
/* msg =   1832, deg =  6 */    751,   2237,   3066,   3117,   4726,   4813, 
/* msg =   1833, deg =  6 */   1967,   4413,   4900,   5927,   6761,   7881, 
/* msg =   1834, deg =  6 */   1044,   1849,   3737,   5258,   7912,   7971, 
/* msg =   1835, deg =  6 */    687,   1034,   2395,   3635,   5146,   6918, 
/* msg =   1836, deg =  6 */   1623,   2379,   2881,   3218,   3234,   4062, 
/* msg =   1837, deg =  6 */   5667,   5704,   6370,   6471,   6501,   7201, 
/* msg =   1838, deg =  6 */    614,   3269,   4666,   4799,   6594,   7799, 
/* msg =   1839, deg =  6 */   3734,   5399,   5578,   7006,   7114,   7174, 
/* msg =   1840, deg =  6 */   1042,   5679,   6242,   6508,   7491,   7653, 
/* msg =   1841, deg =  6 */   1884,   2542,   3263,   5151,   5730,   6091, 
/* msg =   1842, deg =  6 */     31,   1701,   3267,   4316,   5390,   5842, 
/* msg =   1843, deg =  6 */     22,   1372,   1376,   2574,   6621,   7567, 
/* msg =   1844, deg =  6 */    615,   1883,   2355,   3031,   6434,   7201, 
/* msg =   1845, deg =  6 */   3240,   3675,   4727,   6117,   6734,   7338, 
/* msg =   1846, deg =  6 */    470,    780,   4386,   5263,   6946,   7025, 
/* msg =   1847, deg =  6 */    293,    997,   1692,   1849,   4792,   6975, 
/* msg =   1848, deg =  6 */   2113,   6228,   7183,   7398,   7509,   7845, 
/* msg =   1849, deg =  6 */   2244,   2452,   3240,   3592,   5614,   7395, 
/* msg =   1850, deg =  6 */   1807,   1875,   4103,   4680,   5855,   6371, 
/* msg =   1851, deg =  6 */   1617,   1850,   3098,   3509,   4612,   5236, 
/* msg =   1852, deg =  6 */   2176,   2306,   2422,   2754,   3038,   4730, 
/* msg =   1853, deg =  6 */   1191,   5479,   5809,   6536,   6885,   7208, 
/* msg =   1854, deg =  6 */   1149,   1909,   2834,   3151,   6736,   7436, 
/* msg =   1855, deg =  6 */    938,   3761,   5850,   6603,   6940,   7894, 
/* msg =   1856, deg =  6 */   1292,   2029,   2087,   5293,   5363,   7717, 
/* msg =   1857, deg =  6 */   2018,   2026,   3144,   4915,   5322,   7719, 
/* msg =   1858, deg =  6 */    263,    512,   1102,   1365,   3011,   6841, 
/* msg =   1859, deg =  6 */   2293,   4030,   4953,   5919,   6477,   7277, 
/* msg =   1860, deg =  6 */    820,   3360,   3491,   4661,   4854,   6509, 
/* msg =   1861, deg =  6 */     23,   2903,   3086,   3787,   4167,   5911, 
/* msg =   1862, deg =  6 */    525,   1049,   3148,   6200,   7170,   7636, 
/* msg =   1863, deg =  6 */   1869,   2288,   4975,   6912,   7349,   7420, 
/* msg =   1864, deg =  6 */    415,   1753,   2056,   3690,   4696,   6104, 
/* msg =   1865, deg =  6 */   1203,   3580,   3631,   3705,   4469,   7951, 
/* msg =   1866, deg =  6 */   1437,   2337,   2864,   3397,   5758,   7664, 
/* msg =   1867, deg =  6 */   3381,   3710,   5468,   7370,   7376,   7954, 
/* msg =   1868, deg =  6 */    901,   1968,   5082,   5270,   6405,   6862, 
/* msg =   1869, deg =  6 */    225,   1695,   3029,   4989,   7717,   7984, 
/* msg =   1870, deg =  6 */   3342,   3421,   3938,   7847,   7982,   7987, 
/* msg =   1871, deg =  6 */   1786,   2858,   2986,   3030,   6116,   7450, 
/* msg =   1872, deg =  6 */   1862,   1938,   2007,   2058,   5531,   6000, 
/* msg =   1873, deg =  6 */    207,    475,    837,   3494,   5833,   6939, 
/* msg =   1874, deg =  6 */     26,    929,   1342,   3443,   4698,   5592, 
/* msg =   1875, deg =  6 */   1171,   1240,   3766,   4325,   6650,   7420, 
/* msg =   1876, deg =  6 */   1067,   1822,   3037,   3528,   3725,   6115, 
/* msg =   1877, deg =  6 */   1608,   4116,   4252,   5062,   5258,   6569, 
/* msg =   1878, deg =  6 */    176,   2361,   4411,   5742,   6686,   7776, 
/* msg =   1879, deg =  6 */    725,   5100,   5619,   6319,   7148,   7321, 
/* msg =   1880, deg =  6 */    405,    690,   1177,   4647,   6298,   7489, 
/* msg =   1881, deg =  6 */   4147,   5084,   5104,   5842,   6760,   6854, 
/* msg =   1882, deg =  6 */   3652,   4459,   4734,   6108,   7224,   7279, 
/* msg =   1883, deg =  6 */     31,    130,    714,   2321,   5188,   6965, 
/* msg =   1884, deg =  6 */   1729,   2140,   2999,   3974,   4157,   5982, 
/* msg =   1885, deg =  6 */    228,    500,   2696,   4722,   5414,   7704, 
/* msg =   1886, deg =  6 */   2869,   3772,   5689,   5982,   6163,   7883, 
/* msg =   1887, deg =  6 */    897,   4120,   5878,   6503,   7174,   7333, 
/* msg =   1888, deg =  6 */   2514,   3416,   3761,   4715,   4876,   4879, 
/* msg =   1889, deg =  6 */    119,    729,   3449,   4141,   5196,   6694, 
/* msg =   1890, deg =  6 */   1055,   2182,   4274,   5696,   5884,   7876, 
/* msg =   1891, deg =  6 */   1970,   2782,   3273,   3310,   4729,   5209, 
/* msg =   1892, deg =  6 */    215,   2079,   2974,   3513,   5089,   7806, 
/* msg =   1893, deg =  6 */    618,   1934,   3307,   4990,   6512,   7317, 
/* msg =   1894, deg =  6 */   3472,   5105,   5701,   5721,   6926,   7804, 
/* msg =   1895, deg =  6 */    966,   2185,   4520,   4635,   4929,   7699, 
/* msg =   1896, deg =  6 */   3087,   4096,   4373,   5194,   6701,   7479, 
/* msg =   1897, deg =  6 */    780,   2123,   2578,   2796,   3919,   5120, 
/* msg =   1898, deg =  6 */   1275,   1550,   2559,   6196,   6862,   7809, 
/* msg =   1899, deg =  6 */    882,   1007,   2916,   6878,   7016,   7733, 
/* msg =   1900, deg =  6 */   1503,   2138,   3362,   4234,   6472,   7791, 
/* msg =   1901, deg =  6 */    660,   1326,   2516,   4236,   4456,   7582, 
/* msg =   1902, deg =  6 */    901,   4764,   4961,   5095,   7003,   7118, 
/* msg =   1903, deg =  6 */     89,   5436,   6000,   6740,   6759,   7503, 
/* msg =   1904, deg =  6 */   1003,   1272,   2230,   5275,   6452,   6873, 
/* msg =   1905, deg =  6 */    738,   1214,   1959,   2982,   5075,   5660, 
/* msg =   1906, deg =  6 */    467,   1480,   2481,   3791,   5520,   6249, 
/* msg =   1907, deg =  6 */     78,   2227,   2645,   2918,   6114,   6457, 
/* msg =   1908, deg =  6 */   4217,   5005,   5537,   6211,   6824,   7686, 
/* msg =   1909, deg =  6 */    784,   3564,   4202,   4881,   5710,   7259, 
/* msg =   1910, deg =  6 */    375,    764,   1021,   3001,   6491,   6604, 
/* msg =   1911, deg =  6 */   3130,   3445,   3860,   5088,   6664,   7373, 
/* msg =   1912, deg =  6 */    154,   1811,   3108,   5536,   7440,   7865, 
/* msg =   1913, deg =  6 */    723,   1422,   2732,   4172,   4676,   5825, 
/* msg =   1914, deg =  6 */    329,   1915,   5001,   5269,   6447,   7801, 
/* msg =   1915, deg =  6 */     26,    790,   3188,   3272,   6521,   6632, 
/* msg =   1916, deg =  6 */   3173,   3230,   3603,   4151,   5612,   7937, 
/* msg =   1917, deg =  6 */    250,   3049,   3940,   4348,   5055,   5956, 
/* msg =   1918, deg =  6 */    469,   1817,   4325,   4880,   6979,   7457, 
/* msg =   1919, deg =  6 */    440,   1454,   2315,   3703,   6637,   7473, 
/* msg =   1920, deg =  6 */    133,   2895,   3729,   6054,   6684,   7889, 
/* msg =   1921, deg =  6 */    939,   3062,   5476,   5506,   5851,   6617, 
/* msg =   1922, deg =  6 */    978,   3322,   3533,   5158,   7890,   7929, 
/* msg =   1923, deg =  6 */    702,   2477,   3019,   4927,   5078,   5331, 
/* msg =   1924, deg =  6 */    567,   2814,   3141,   6006,   6141,   7111, 
/* msg =   1925, deg =  6 */   1073,   3642,   4417,   6198,   7427,   7499, 
/* msg =   1926, deg =  6 */   2138,   2946,   4517,   6144,   7759,   7917, 
/* msg =   1927, deg =  6 */   1098,   5426,   5428,   6234,   6790,   7459, 
/* msg =   1928, deg =  6 */   2587,   3982,   4594,   5657,   5760,   7832, 
/* msg =   1929, deg =  6 */    667,   1017,   4622,   5303,   5803,   7687, 
/* msg =   1930, deg =  6 */    672,   2770,   3216,   5839,   7108,   7211, 
/* msg =   1931, deg =  6 */    563,    615,   3533,   5038,   6177,   7520, 
/* msg =   1932, deg =  6 */   1031,   1950,   3579,   5525,   6798,   6879, 
/* msg =   1933, deg =  6 */   2811,   4156,   4330,   5720,   5847,   5861, 
/* msg =   1934, deg =  6 */    273,   2922,   4824,   5203,   6090,   6698, 
/* msg =   1935, deg =  6 */   2334,   4213,   4280,   4527,   6725,   7069, 
/* msg =   1936, deg =  6 */     69,    944,   2124,   2366,   5270,   5953, 
/* msg =   1937, deg =  6 */    299,    756,   1327,   4059,   6371,   7300, 
/* msg =   1938, deg =  6 */   1672,   2106,   2686,   3498,   5352,   6372, 
/* msg =   1939, deg =  6 */    444,   1113,   1406,   2074,   3882,   7218, 
/* msg =   1940, deg =  6 */    164,    748,   3748,   4190,   6766,   7495, 
/* msg =   1941, deg =  6 */    811,   2264,   2831,   4747,   5562,   6528, 
/* msg =   1942, deg =  6 */    834,   3948,   4110,   4695,   5532,   7975, 
/* msg =   1943, deg =  6 */   1218,   1514,   2361,   3309,   6945,   7850, 
/* msg =   1944, deg =  6 */    796,    893,   3965,   5755,   6714,   6887, 
/* msg =   1945, deg =  6 */   1984,   4458,   4624,   4988,   5024,   5316, 
/* msg =   1946, deg =  6 */   1531,   1795,   2683,   2841,   3495,   3778, 
/* msg =   1947, deg =  6 */   1616,   1689,   1700,   3827,   3934,   5452, 
/* msg =   1948, deg =  6 */   1259,   1529,   4625,   5653,   7133,   7953, 
/* msg =   1949, deg =  6 */   1976,   3928,   4985,   5522,   6124,   6759, 
/* msg =   1950, deg =  6 */    486,   1333,   2545,   2655,   4794,   5511, 
/* msg =   1951, deg =  6 */   3098,   3802,   4739,   4989,   6469,   7791, 
/* msg =   1952, deg =  6 */    361,   2152,   2627,   5349,   6650,   6766, 
/* msg =   1953, deg =  6 */    332,   1758,   2176,   5295,   7213,   7978, 
/* msg =   1954, deg =  6 */   1767,   2036,   3148,   3644,   3907,   5785, 
/* msg =   1955, deg =  6 */    419,   1620,   3559,   5738,   6525,   6996, 
/* msg =   1956, deg =  6 */    625,   1575,   4434,   6891,   7282,   7924, 
/* msg =   1957, deg =  6 */   1918,   2268,   2658,   2775,   2870,   4207, 
/* msg =   1958, deg =  6 */   1993,   4577,   5150,   5347,   7135,   7331, 
/* msg =   1959, deg =  6 */   2445,   4016,   6582,   6979,   7033,   7151, 
/* msg =   1960, deg =  6 */    102,   1577,   2408,   5145,   6602,   7933, 
/* msg =   1961, deg =  6 */   1059,   3725,   3835,   6698,   6769,   7136, 
/* msg =   1962, deg =  6 */    340,   1709,   1878,   4364,   5478,   7721, 
/* msg =   1963, deg =  6 */    760,   1991,   2114,   3750,   5994,   6439, 
/* msg =   1964, deg =  6 */   1846,   2640,   4382,   5928,   6317,   6927, 
/* msg =   1965, deg =  6 */   1613,   3728,   4014,   4607,   5777,   5857, 
/* msg =   1966, deg =  6 */    289,    968,   2265,   3903,   6844,   7138, 
/* msg =   1967, deg =  6 */   1281,   2663,   4167,   5072,   6293,   7316, 
/* msg =   1968, deg =  6 */   1919,   3347,   3433,   5831,   6267,   6995, 
/* msg =   1969, deg =  6 */     11,   1623,   2597,   3447,   6425,   7504, 
/* msg =   1970, deg =  6 */   2221,   2282,   5311,   6419,   6675,   7095, 
/* msg =   1971, deg =  6 */    676,   2906,   3387,   5318,   5585,   7657, 
/* msg =   1972, deg =  6 */    239,   1526,   5762,   5790,   6066,   7394, 
/* msg =   1973, deg =  6 */    504,    573,   1320,   4032,   4914,   5429, 
/* msg =   1974, deg =  6 */   1165,   1506,   2386,   5210,   5640,   6985, 
/* msg =   1975, deg =  6 */    353,    371,   1129,   5263,   5798,   7443, 
/* msg =   1976, deg =  6 */    167,   4163,   5417,   7127,   7306,   7712, 
/* msg =   1977, deg =  6 */     72,    481,    553,   1335,   5629,   7313, 
/* msg =   1978, deg =  6 */    337,   3125,   4536,   6826,   7700,   7993, 
/* msg =   1979, deg =  6 */    314,   3582,   3939,   6453,   7618,   7652, 
/* msg =   1980, deg =  6 */    343,   1233,   2140,   4034,   4088,   7707, 
/* msg =   1981, deg =  6 */    107,   2656,   2798,   4032,   4656,   6801, 
/* msg =   1982, deg =  6 */   1802,   2960,   4249,   6780,   6936,   7485, 
/* msg =   1983, deg =  6 */   3413,   4112,   5113,   5851,   6671,   7901, 
/* msg =   1984, deg =  6 */   1387,   1787,   2815,   3906,   4074,   5223, 
/* msg =   1985, deg =  6 */   1910,   2171,   2596,   4583,   6350,   7367, 
/* msg =   1986, deg =  6 */   1804,   2612,   3984,   4260,   5473,   7029, 
/* msg =   1987, deg =  6 */    674,   1656,   1889,   3768,   4759,   5329, 
/* msg =   1988, deg =  6 */   1005,   2482,   5875,   6404,   7635,   7769, 
/* msg =   1989, deg =  6 */      0,   1073,   2330,   2514,   4589,   7124, 
/* msg =   1990, deg =  6 */   1122,   1797,   3981,   5157,   6796,   7703, 
/* msg =   1991, deg =  6 */    348,   2229,   2549,   4108,   4567,   7120, 
/* msg =   1992, deg =  6 */   2688,   4428,   4701,   5340,   6476,   7238, 
/* msg =   1993, deg =  6 */   1386,   4076,   4437,   5236,   6376,   7864, 
/* msg =   1994, deg =  6 */   1410,   2744,   3065,   3603,   5147,   5168, 
/* msg =   1995, deg =  6 */     20,   1362,   3570,   4821,   6321,   6339, 
/* msg =   1996, deg =  6 */   2758,   3797,   4451,   4677,   5035,   5357, 
/* msg =   1997, deg =  6 */    429,   2674,   3294,   3578,   5788,   6410, 
/* msg =   1998, deg =  6 */    188,   3841,   4319,   4344,   4449,   7880, 
/* msg =   1999, deg =  6 */    580,   1396,   3415,   6752,   6952,   7155, 
/* msg =   2000, deg =  6 */    400,    940,   1202,   1322,   1649,   3382, 
/* msg =   2001, deg =  6 */    465,   1772,   2637,   4471,   5496,   6853, 
/* msg =   2002, deg =  6 */    124,    603,   2112,   3503,   5137,   6252, 
/* msg =   2003, deg =  6 */    563,   2622,   2767,   3334,   4306,   6487, 
/* msg =   2004, deg =  6 */   3089,   3292,   3641,   6134,   6894,   7612, 
/* msg =   2005, deg =  6 */    515,    701,   1852,   2376,   7285,   7933, 
/* msg =   2006, deg =  6 */   1296,   1699,   3071,   3544,   4728,   5324, 
/* msg =   2007, deg =  6 */    608,   1173,   3940,   5075,   5727,   5911, 
/* msg =   2008, deg =  6 */   1597,   2880,   4861,   5096,   5201,   7474, 
/* msg =   2009, deg =  6 */    853,   1598,   3846,   5889,   7317,   7619, 
/* msg =   2010, deg =  6 */    579,   1375,   3305,   5220,   6299,   6806, 
/* msg =   2011, deg =  6 */   2140,   2369,   3095,   4059,   4630,   7815, 
/* msg =   2012, deg =  6 */    532,   4102,   4399,   6570,   7523,   7647, 
/* msg =   2013, deg =  6 */   3389,   4963,   6370,   6967,   7164,   7623, 
/* msg =   2014, deg =  6 */     26,    451,   1594,   1845,   2640,   5499, 
/* msg =   2015, deg =  6 */   1233,   1467,   2792,   2970,   3961,   7213, 
/* msg =   2016, deg =  6 */   3725,   3949,   4536,   5882,   6300,   6712, 
/* msg =   2017, deg =  6 */    181,    285,   2553,   4461,   4763,   6597, 
/* msg =   2018, deg =  6 */    952,   2409,   3214,   3574,   5169,   7605, 
/* msg =   2019, deg =  6 */   1836,   4085,   4654,   5368,   5435,   6154, 
/* msg =   2020, deg =  6 */   1367,   1490,   1982,   5263,   7610,   7646, 
/* msg =   2021, deg =  6 */    996,   1013,   2179,   4738,   5457,   5966, 
/* msg =   2022, deg =  6 */    843,   1427,   2114,   5902,   7079,   7693, 
/* msg =   2023, deg =  6 */   3200,   6323,   6388,   6424,   7058,   7341, 
/* msg =   2024, deg =  6 */   4002,   4124,   4472,   4839,   6581,   6722, 
/* msg =   2025, deg =  6 */     77,   2126,   3008,   3077,   5077,   7518, 
/* msg =   2026, deg =  6 */    374,   2096,   3542,   3595,   3685,   5008, 
/* msg =   2027, deg =  6 */    986,   1261,   4543,   5566,   6661,   7667, 
/* msg =   2028, deg =  6 */    280,    761,   1551,   6303,   7342,   7413, 
/* msg =   2029, deg =  6 */    160,   3506,   3640,   4993,   6781,   6911, 
/* msg =   2030, deg =  6 */   1667,   3161,   3707,   6544,   7479,   7545, 
/* msg =   2031, deg =  6 */   4228,   5255,   5639,   6311,   6484,   6668, 
/* msg =   2032, deg =  6 */   1084,   5568,   6244,   6417,   7417,   7875, 
/* msg =   2033, deg =  6 */      9,   1434,   1666,   4668,   7955,   7994, 
/* msg =   2034, deg =  6 */   1010,   1514,   3311,   4003,   4590,   6221, 
/* msg =   2035, deg =  6 */    421,    712,   3128,   3514,   6412,   7150, 
/* msg =   2036, deg =  6 */    778,   1971,   2691,   5913,   6141,   7654, 
/* msg =   2037, deg =  6 */    409,   1269,   2930,   3506,   4448,   4799, 
/* msg =   2038, deg =  6 */   1469,   3207,   3745,   5759,   7722,   7736, 
/* msg =   2039, deg =  6 */   1002,   1743,   2098,   2886,   5704,   6243, 
/* msg =   2040, deg =  6 */   1045,   2067,   2118,   2239,   2817,   7604, 
/* msg =   2041, deg =  6 */   3887,   4231,   5149,   5720,   6025,   7904, 
/* msg =   2042, deg =  6 */      4,   3011,   3093,   4044,   5091,   5439, 
/* msg =   2043, deg =  6 */    831,    848,   1198,   1599,   5155,   7423, 
/* msg =   2044, deg =  6 */   1304,   3283,   3427,   3943,   4234,   5107, 
/* msg =   2045, deg =  6 */   1496,   2945,   4271,   4288,   4394,   4941, 
/* msg =   2046, deg =  6 */    208,    676,   4322,   6958,   7071,   7769, 
/* msg =   2047, deg =  6 */    634,   1723,   1980,   2275,   3082,   4323, 
/* msg =   2048, deg =  6 */    532,    696,   2874,   4189,   7312,   7994, 
/* msg =   2049, deg =  6 */    519,    621,    917,   1361,   2089,   3936, 
/* msg =   2050, deg =  6 */    123,    455,   2633,   3195,   4767,   7475, 
/* msg =   2051, deg =  6 */    557,   1154,   1477,   2311,   7065,   7816, 
/* msg =   2052, deg =  6 */   1405,   2272,   2428,   4658,   7662,   7843, 
/* msg =   2053, deg =  6 */   1678,   1863,   4387,   4681,   4777,   7426, 
/* msg =   2054, deg =  6 */   2033,   2513,   2570,   3120,   3853,   5816, 
/* msg =   2055, deg =  6 */   1718,   2488,   3747,   5925,   6655,   6690, 
/* msg =   2056, deg =  6 */   2022,   3989,   5289,   5329,   5763,   6549, 
/* msg =   2057, deg =  6 */   1581,   2586,   3384,   5152,   7026,   7505, 
/* msg =   2058, deg =  6 */     65,   1705,   3753,   6147,   7298,   7845, 
/* msg =   2059, deg =  6 */    959,   4293,   4526,   4567,   4868,   7611, 
/* msg =   2060, deg =  6 */     97,    994,   4819,   5022,   5779,   6405, 
/* msg =   2061, deg =  6 */    274,   1328,   3442,   5376,   5465,   7900, 
/* msg =   2062, deg =  6 */   2784,   3572,   3597,   5577,   6308,   7552, 
/* msg =   2063, deg =  6 */    665,    844,   3171,   5061,   6034,   7210, 
/* msg =   2064, deg =  6 */    650,   1693,   4570,   4736,   5136,   6913, 
/* msg =   2065, deg =  6 */    298,    753,   1232,   3538,   6418,   7451, 
/* msg =   2066, deg =  6 */    199,   1489,   2786,   5297,   6095,   7172, 
/* msg =   2067, deg =  6 */    174,   1166,   3241,   3448,   3475,   6770, 
/* msg =   2068, deg =  6 */    578,    975,   4797,   6877,   7569,   7841, 
/* msg =   2069, deg =  6 */   2947,   4583,   5877,   6263,   6418,   7119, 
/* msg =   2070, deg =  6 */   1195,   2412,   4846,   6042,   6084,   7496, 
/* msg =   2071, deg =  6 */   2047,   2414,   3176,   4644,   4853,   7556, 
/* msg =   2072, deg =  6 */   1578,   1614,   2447,   3211,   7576,   7650, 
/* msg =   2073, deg =  6 */    184,   2617,   4765,   5617,   5761,   6742, 
/* msg =   2074, deg =  6 */   1693,   4265,   4399,   4650,   7336,   7485, 
/* msg =   2075, deg =  6 */   4109,   4323,   5608,   7105,   7217,   7255, 
/* msg =   2076, deg =  6 */   2368,   2420,   2697,   3225,   3811,   6920, 
/* msg =   2077, deg =  6 */   1149,   2419,   3792,   6798,   7196,   7776, 
/* msg =   2078, deg =  6 */   1047,   2253,   3451,   3864,   7223,   7466, 
/* msg =   2079, deg =  6 */    321,    662,   2369,   2567,   2720,   4788, 
/* msg =   2080, deg =  6 */   2222,   3235,   3450,   5048,   5399,   7539, 
/* msg =   2081, deg =  6 */   1963,   2543,   2629,   6313,   7330,   7917, 
/* msg =   2082, deg =  6 */   1850,   1919,   2245,   2387,   2395,   6678, 
/* msg =   2083, deg =  6 */   1063,   2354,   2894,   3069,   3807,   5046, 
/* msg =   2084, deg =  6 */    827,   2421,   2447,   6849,   6988,   7682, 
/* msg =   2085, deg =  6 */     76,    755,   2294,   3541,   3666,   7492, 
/* msg =   2086, deg =  6 */   2887,   2970,   3172,   6588,   6790,   7525, 
/* msg =   2087, deg =  6 */    814,   1091,   1288,   1740,   5653,   7399, 
/* msg =   2088, deg =  6 */    653,   1615,   2718,   4116,   4193,   5289, 
/* msg =   2089, deg =  6 */   2258,   3845,   3863,   4017,   6468,   7660, 
/* msg =   2090, deg =  6 */    811,   1586,   2137,   4279,   5548,   6062, 
/* msg =   2091, deg =  6 */    210,    977,    992,   1465,   1872,   5890, 
/* msg =   2092, deg =  6 */   1524,   1674,   1709,   2803,   3669,   3764, 
/* msg =   2093, deg =  6 */    355,    517,   1447,   1481,   5693,   6532, 
/* msg =   2094, deg =  6 */   3587,   3769,   4229,   6487,   6669,   7452, 
/* msg =   2095, deg =  6 */   1793,   3964,   5107,   5458,   5770,   5888, 
/* msg =   2096, deg =  6 */   1100,   1113,   1414,   5430,   5971,   6121, 
/* msg =   2097, deg =  6 */   2957,   3669,   3726,   4780,   5058,   5420, 
/* msg =   2098, deg =  6 */    327,   1283,   2338,   4627,   6165,   6726, 
/* msg =   2099, deg =  6 */     48,   3955,   4868,   4895,   7424,   7837, 
/* msg =   2100, deg =  6 */   2217,   2952,   3162,   4498,   5039,   6655, 
/* msg =   2101, deg =  6 */   2860,   3885,   3987,   4838,   5015,   5873, 
/* msg =   2102, deg =  6 */   1081,   1285,   2557,   3978,   4590,   4843, 
/* msg =   2103, deg =  6 */    188,    467,    540,   1806,   6021,   6103, 
/* msg =   2104, deg =  6 */    521,    684,    739,   1566,   5085,   7768, 
/* msg =   2105, deg =  6 */    384,   3607,   4137,   5070,   6608,   7824, 
/* msg =   2106, deg =  6 */    503,   4634,   5451,   5685,   5979,   6796, 
/* msg =   2107, deg =  6 */    203,   2444,   3860,   4026,   4036,   4496, 
/* msg =   2108, deg =  6 */   1320,   1451,   1487,   2925,   3370,   7052, 
/* msg =   2109, deg =  6 */    300,   2908,   3986,   4743,   5292,   7148, 
/* msg =   2110, deg =  6 */    333,    402,   6730,   6844,   7386,   7921, 
/* msg =   2111, deg =  6 */    870,   1752,   1891,   1981,   2009,   5820, 
/* msg =   2112, deg =  6 */   2113,   4886,   6166,   6540,   6706,   7220, 
/* msg =   2113, deg =  6 */    133,   1873,   2024,   2659,   7118,   7746, 
/* msg =   2114, deg =  6 */    680,   2065,   3477,   3512,   5789,   6627, 
/* msg =   2115, deg =  6 */   2667,   4588,   4816,   4947,   5412,   6859, 
/* msg =   2116, deg =  6 */   2750,   3287,   4835,   6481,   7758,   7824, 
/* msg =   2117, deg =  6 */    341,   1438,   1529,   1968,   7289,   7371, 
/* msg =   2118, deg =  6 */   1261,   1862,   2768,   3505,   3679,   5568, 
/* msg =   2119, deg =  6 */    294,    933,   2825,   4896,   6220,   7251, 
/* msg =   2120, deg =  6 */    641,   1026,   2418,   3483,   3559,   4230, 
/* msg =   2121, deg =  6 */    872,   1194,   1305,   3975,   6071,   7085, 
/* msg =   2122, deg =  6 */   3033,   3928,   4057,   4403,   5060,   7204, 
/* msg =   2123, deg =  6 */    195,    528,   1566,   4980,   5881,   5972, 
/* msg =   2124, deg =  6 */    180,   3222,   3855,   5114,   6904,   7597, 
/* msg =   2125, deg =  6 */   1125,   3474,   3568,   4873,   5823,   7247, 
/* msg =   2126, deg =  6 */   1688,   2710,   4554,   5802,   7002,   7432, 
/* msg =   2127, deg =  6 */    661,   1057,   2975,   3627,   3827,   4684, 
/* msg =   2128, deg =  6 */   2429,   3317,   3636,   4563,   4671,   6002, 
/* msg =   2129, deg =  6 */    331,   1101,   3833,   3906,   4435,   4871, 
/* msg =   2130, deg =  6 */     91,   3845,   5805,   5933,   6366,   7245, 
/* msg =   2131, deg =  6 */    759,   1371,   1831,   4767,   5249,   7541, 
/* msg =   2132, deg =  6 */    420,   1205,   3045,   5689,   7537,   7767, 
/* msg =   2133, deg =  6 */    347,   1759,   2965,   3798,   5252,   6619, 
/* msg =   2134, deg =  6 */    247,   1700,   2634,   3094,   3124,   4335, 
/* msg =   2135, deg =  6 */   4119,   4691,   4922,   5918,   6017,   7669, 
/* msg =   2136, deg =  6 */    313,   2007,   4689,   5328,   7206,   7913, 
/* msg =   2137, deg =  6 */    922,   1241,   1476,   2175,   3404,   3716, 
/* msg =   2138, deg =  6 */    138,   1077,   1168,   2402,   2431,   4826, 
/* msg =   2139, deg =  6 */    859,   1065,   1962,   2539,   2702,   3122, 
/* msg =   2140, deg =  6 */    562,   1076,   3264,   3729,   5770,   6267, 
/* msg =   2141, deg =  6 */     33,    600,    884,   1638,   6454,   6966, 
/* msg =   2142, deg =  6 */   2234,   2313,   6754,   6821,   6863,   7955, 
/* msg =   2143, deg =  6 */    405,    836,   3323,   4847,   5371,   5456, 
/* msg =   2144, deg =  6 */    672,   2622,   3502,   4134,   5795,   6318, 
/* msg =   2145, deg =  6 */    437,   1546,   2134,   3111,   6146,   6461, 
/* msg =   2146, deg =  6 */   2095,   3235,   3625,   4958,   5028,   6537, 
/* msg =   2147, deg =  6 */    513,   1191,   3458,   3699,   4406,   7000, 
/* msg =   2148, deg =  6 */    302,    700,   1340,   3257,   4693,   6607, 
/* msg =   2149, deg =  6 */   1713,   3795,   4340,   7066,   7216,   7326, 
/* msg =   2150, deg =  6 */    715,   1266,   2911,   4053,   4424,   6029, 
/* msg =   2151, deg =  6 */   1984,   1991,   2105,   3621,   4589,   4816, 
/* msg =   2152, deg =  6 */    533,   5148,   5816,   6236,   6905,   7130, 
/* msg =   2153, deg =  6 */    201,   2936,   3965,   4459,   6994,   7459, 
/* msg =   2154, deg =  6 */    169,    530,   2175,   6296,   6336,   6959, 
/* msg =   2155, deg =  6 */    663,   1296,   2302,   3348,   4806,   5117, 
/* msg =   2156, deg =  6 */   1990,   2324,   2644,   2815,   3169,   6274, 
/* msg =   2157, deg =  6 */    785,   2214,   3118,   3759,   7181,   7702, 
/* msg =   2158, deg =  6 */    941,   1393,   2568,   4398,   6121,   6227, 
/* msg =   2159, deg =  6 */   1917,   3055,   4443,   5477,   6316,   7920, 
/* msg =   2160, deg =  6 */    427,   1909,   2050,   3025,   4149,   6307, 
/* msg =   2161, deg =  6 */    753,    968,   3932,   6271,   7144,   7609, 
/* msg =   2162, deg =  6 */   1831,   2057,   4055,   6611,   6690,   6787, 
/* msg =   2163, deg =  6 */    855,   3701,   7194,   7231,   7825,   7907, 
/* msg =   2164, deg =  6 */   1304,   1987,   3662,   4419,   5819,   5927, 
/* msg =   2165, deg =  6 */     36,   2334,   3210,   5634,   6427,   7520, 
/* msg =   2166, deg =  6 */   2450,   2457,   3663,   4830,   4883,   6555, 
/* msg =   2167, deg =  6 */   1895,   2056,   3731,   5485,   6604,   7675, 
/* msg =   2168, deg =  6 */    523,   1349,   2000,   3946,   5879,   6922, 
/* msg =   2169, deg =  6 */    990,   1219,   1728,   2686,   6297,   6825, 
/* msg =   2170, deg =  6 */    775,   2529,   3567,   5387,   6458,   7754, 
/* msg =   2171, deg =  6 */    562,   1557,   2129,   3931,   4225,   4765, 
/* msg =   2172, deg =  6 */    774,    839,   1183,   1938,   2926,   7946, 
/* msg =   2173, deg =  6 */   4342,   7126,   7314,   7366,   7493,   7599, 
/* msg =   2174, deg =  6 */    330,   1870,   2829,   4410,   6180,   7116, 
/* msg =   2175, deg =  6 */    775,   1120,   1854,   2730,   3992,   6468, 
/* msg =   2176, deg =  6 */    551,   1142,   3948,   4825,   7243,   7557, 
/* msg =   2177, deg =  6 */    942,   1442,   1909,   3120,   3476,   4189, 
/* msg =   2178, deg =  6 */   1723,   1857,   3477,   4178,   5046,   6003, 
/* msg =   2179, deg =  6 */   2831,   3665,   3770,   5309,   5677,   7782, 
/* msg =   2180, deg =  6 */   1267,   3179,   3656,   4015,   6358,   6656, 
/* msg =   2181, deg =  6 */    257,    479,   2476,   3878,   5161,   5806, 
/* msg =   2182, deg =  6 */    932,   1947,   5941,   6703,   7247,   7648, 
/* msg =   2183, deg =  6 */   1277,   6303,   6372,   6420,   7270,   7722, 
/* msg =   2184, deg =  6 */   1040,   1272,   3773,   4626,   6037,   6778, 
/* msg =   2185, deg =  6 */   3074,   4430,   5132,   5398,   5533,   6520, 
/* msg =   2186, deg =  6 */   1182,   2661,   4807,   5374,   6153,   6914, 
/* msg =   2187, deg =  6 */   1145,   1953,   3824,   5264,   5985,   6056, 
/* msg =   2188, deg =  6 */   1635,   4108,   5318,   5558,   5873,   6029, 
/* msg =   2189, deg =  6 */    382,   1172,   2084,   2146,   2707,   5570, 
/* msg =   2190, deg =  6 */   2861,   3514,   4061,   4906,   5768,   6309, 
/* msg =   2191, deg =  6 */    249,    564,   1503,   2535,   5097,   6445, 
/* msg =   2192, deg =  6 */    680,   1416,   1735,   4625,   5684,   6247, 
/* msg =   2193, deg =  6 */    886,   2268,   3390,   3976,   6059,   7303, 
/* msg =   2194, deg =  6 */    197,    582,   2929,   4407,   5611,   5719, 
/* msg =   2195, deg =  6 */    564,    974,   3907,   4381,   5563,   7868, 
/* msg =   2196, deg =  6 */    217,    389,   3717,   5051,   5316,   6515, 
/* msg =   2197, deg =  6 */     23,   2246,   2249,   3367,   4285,   5603, 
/* msg =   2198, deg =  6 */   2966,   3269,   4825,   5691,   6503,   6548, 
/* msg =   2199, deg =  6 */   1009,   1334,   1468,   1905,   5268,   5767, 
/* msg =   2200, deg =  6 */    114,   2462,   5036,   6230,   6388,   7817, 
/* msg =   2201, deg =  6 */   1396,   1471,   1798,   3266,   5486,   7696, 
/* msg =   2202, deg =  6 */    357,   1962,   3732,   5166,   6361,   6906, 
/* msg =   2203, deg =  6 */    335,    511,   2337,   2552,   3877,   6746, 
/* msg =   2204, deg =  6 */   1096,   2328,   3054,   5721,   6599,   7027, 
/* msg =   2205, deg =  6 */    581,   1603,   2708,   4156,   6344,   7129, 
/* msg =   2206, deg =  6 */    909,   1510,   1852,   2972,   4850,   5174, 
/* msg =   2207, deg =  6 */   1194,   1750,   2604,   3356,   4959,   5641, 
/* msg =   2208, deg =  6 */   2496,   3757,   4514,   4785,   5528,   7865, 
/* msg =   2209, deg =  6 */     49,   1612,   1700,   6506,   6992,   7478, 
/* msg =   2210, deg =  6 */    741,    980,   1745,   4003,   4305,   7173, 
/* msg =   2211, deg =  6 */    182,   1176,   2522,   4238,   4407,   6146, 
/* msg =   2212, deg =  6 */   2621,   4614,   5467,   5799,   6811,   7967, 
/* msg =   2213, deg =  6 */   1528,   3717,   5401,   6900,   6920,   7658, 
/* msg =   2214, deg =  6 */   3058,   3594,   4995,   6017,   6313,   6786, 
/* msg =   2215, deg =  6 */    993,   1819,   3006,   7069,   7505,   7517, 
/* msg =   2216, deg =  6 */    386,   1823,   2715,   3848,   6966,   7478, 
/* msg =   2217, deg =  6 */    239,    346,   1644,   6163,   7400,   7486, 
/* msg =   2218, deg =  6 */   1424,   2331,   2494,   3441,   5528,   7595, 
/* msg =   2219, deg =  6 */   2541,   4313,   4461,   5576,   6315,   6345, 
/* msg =   2220, deg =  6 */    526,   2451,   2642,   4541,   6362,   7901, 
/* msg =   2221, deg =  6 */    341,   2427,   3587,   4510,   4620,   6661, 
/* msg =   2222, deg =  6 */   2529,   2821,   3012,   4689,   5553,   6696, 
/* msg =   2223, deg =  6 */    473,   1995,   2411,   4097,   4656,   7099, 
/* msg =   2224, deg =  6 */    827,   2088,   2963,   4558,   5409,   7715, 
/* msg =   2225, deg =  6 */   1266,   1756,   3096,   3212,   3259,   6776, 
/* msg =   2226, deg =  6 */    317,    931,   2531,   5526,   7280,   7990, 
/* msg =   2227, deg =  6 */   1011,   3637,   4385,   5044,   6231,   7886, 
/* msg =   2228, deg =  6 */   2522,   4183,   4603,   5129,   7251,   7522, 
/* msg =   2229, deg =  6 */   1033,   1728,   3430,   4226,   4596,   6428, 
/* msg =   2230, deg =  6 */   1611,   2931,   3752,   5198,   7513,   7946, 
/* msg =   2231, deg =  6 */    896,   1475,   2289,   2459,   2873,   5367, 
/* msg =   2232, deg =  6 */   1565,   2662,   3554,   4143,   5288,   6257, 
/* msg =   2233, deg =  6 */   2376,   3563,   3664,   4425,   5203,   6572, 
/* msg =   2234, deg =  6 */   1635,   3817,   6222,   6759,   7329,   7393, 
/* msg =   2235, deg =  6 */    128,   3994,   4205,   5002,   6797,   7625, 
/* msg =   2236, deg =  6 */   1029,   1263,   3840,   4464,   5151,   5428, 
/* msg =   2237, deg =  6 */    181,   2984,   3984,   4259,   4878,   6846, 
/* msg =   2238, deg =  6 */    640,   3410,   3755,   6838,   6949,   7854, 
/* msg =   2239, deg =  6 */   1221,   3499,   4818,   5410,   6208,   7728, 
/* msg =   2240, deg =  6 */   4983,   5183,   5216,   6817,   7137,   7336, 
/* msg =   2241, deg =  6 */   1954,   3245,   4888,   5173,   5489,   6448, 
/* msg =   2242, deg =  6 */     68,   1387,   1657,   3135,   4157,   4300, 
/* msg =   2243, deg =  6 */    862,   1765,   5403,   6933,   6955,   7785, 
/* msg =   2244, deg =  6 */    147,   3068,   3790,   4116,   6877,   6939, 
/* msg =   2245, deg =  6 */    855,   3454,   4129,   5297,   6785,   7043, 
/* msg =   2246, deg =  6 */    273,    885,   1943,   2735,   6892,   7038, 
/* msg =   2247, deg =  6 */    319,    618,   4068,   4097,   5471,   5498, 
/* msg =   2248, deg =  6 */    482,    483,    950,   3267,   3553,   7977, 
/* msg =   2249, deg =  6 */   3474,   4247,   4373,   4991,   6306,   7641, 
/* msg =   2250, deg =  6 */    110,   1879,   2966,   3325,   3412,   5396, 
/* msg =   2251, deg =  6 */   1023,   1584,   2490,   4529,   4587,   7144, 
/* msg =   2252, deg =  6 */    307,   1133,   1284,   2336,   2807,   3205, 
/* msg =   2253, deg =  6 */   3963,   4824,   5403,   6823,   7701,   7941, 
/* msg =   2254, deg =  6 */   2664,   5122,   6684,   6809,   7286,   7418, 
/* msg =   2255, deg =  6 */   3100,   4357,   5494,   5509,   6375,   6600, 
/* msg =   2256, deg =  6 */   3464,   3596,   5866,   6015,   6200,   6635, 
/* msg =   2257, deg =  6 */   1517,   2164,   3375,   4288,   5076,   5644, 
/* msg =   2258, deg =  6 */    155,   4115,   6289,   7438,   7595,   7679, 
/* msg =   2259, deg =  6 */   1027,   1226,   2083,   3311,   5049,   5366, 
/* msg =   2260, deg =  6 */    452,    719,    858,   2745,   5785,   6093, 
/* msg =   2261, deg =  6 */    975,   3215,   3913,   4648,   5411,   6410, 
/* msg =   2262, deg =  6 */   2601,   2749,   5068,   5901,   7695,   7852, 
/* msg =   2263, deg =  6 */     62,     84,   2767,   3312,   6526,   7720, 
/* msg =   2264, deg =  6 */   1409,   2549,   2570,   3063,   4152,   4305, 
/* msg =   2265, deg =  6 */    831,   1835,   3127,   5714,   6215,   6385, 
/* msg =   2266, deg =  6 */   1816,   2626,   4467,   5020,   5135,   6418, 
/* msg =   2267, deg =  6 */    145,    858,   2381,   4528,   6171,   7546, 
/* msg =   2268, deg =  6 */   4866,   5122,   5927,   6253,   6377,   6880, 
/* msg =   2269, deg =  6 */   1751,   1798,   2255,   2506,   5493,   6842, 
/* msg =   2270, deg =  6 */     98,   3722,   4229,   5348,   5572,   6289, 
/* msg =   2271, deg =  6 */   1774,   2067,   2969,   5935,   6631,   6768, 
/* msg =   2272, deg =  6 */    970,   2427,   2922,   3315,   4863,   5437, 
/* msg =   2273, deg =  6 */    467,    768,   1039,   3888,   4850,   7182, 
/* msg =   2274, deg =  6 */    583,   1287,   3467,   4867,   5422,   5544, 
/* msg =   2275, deg =  6 */     51,   3357,   3555,   4241,   6052,   7048, 
/* msg =   2276, deg =  6 */    435,   3812,   4813,   5344,   6935,   7571, 
/* msg =   2277, deg =  6 */    866,   1049,   1757,   3138,   3622,   6096, 
/* msg =   2278, deg =  6 */     87,    421,   1933,   2128,   3221,   5200, 
/* msg =   2279, deg =  6 */    431,   3298,   6111,   7176,   7185,   7202, 
/* msg =   2280, deg =  6 */   1888,   2130,   2751,   3923,   7516,   7723, 
/* msg =   2281, deg =  6 */   1373,   2108,   2263,   4125,   5452,   5805, 
/* msg =   2282, deg =  6 */    116,   2278,   2628,   3615,   3981,   4885, 
/* msg =   2283, deg =  6 */   2093,   3038,   4132,   7253,   7899,   7986, 
/* msg =   2284, deg =  6 */   3170,   6304,   6774,   6808,   7211,   7867, 
/* msg =   2285, deg =  6 */   2224,   3195,   3595,   6173,   7051,   7148, 
/* msg =   2286, deg =  6 */   1430,   1788,   1854,   3606,   4509,   6154, 
/* msg =   2287, deg =  6 */    284,    322,   4916,   5898,   7365,   7670, 
/* msg =   2288, deg =  6 */    190,    489,   1007,   3366,   6436,   6848, 
/* msg =   2289, deg =  6 */   1313,   3161,   4079,   4221,   4401,   4687, 
/* msg =   2290, deg =  6 */    783,    945,   1652,   2888,   4762,   4886, 
/* msg =   2291, deg =  6 */    899,   2291,   2836,   4106,   7088,   7297, 
/* msg =   2292, deg =  6 */    387,   2127,   2834,   3313,   5642,   6117, 
/* msg =   2293, deg =  6 */    702,    988,   1688,   2548,   2580,   7593, 
/* msg =   2294, deg =  6 */   1443,   1724,   3115,   4119,   6486,   6817, 
/* msg =   2295, deg =  6 */    609,   1778,   3493,   4730,   4776,   6803, 
/* msg =   2296, deg =  6 */   2394,   2454,   3138,   6327,   6775,   7104, 
/* msg =   2297, deg =  6 */    332,    369,   1127,   1642,   3922,   6226, 
/* msg =   2298, deg =  6 */   1088,   3176,   3352,   3989,   5691,   7823, 
/* msg =   2299, deg =  6 */   1246,   4287,   4664,   6711,   6781,   7338, 
/* msg =   2300, deg =  6 */    388,   6789,   7088,   7166,   7548,   7959, 
/* msg =   2301, deg =  6 */   3035,   5224,   5900,   6870,   7352,   7778, 
/* msg =   2302, deg =  6 */   1048,   1264,   1352,   5427,   5743,   7154, 
/* msg =   2303, deg =  6 */     10,   1018,   2090,   2410,   3857,   6856, 
/* msg =   2304, deg =  6 */   1348,   2940,   4379,   4537,   7387,   7669, 
/* msg =   2305, deg =  6 */    251,    410,   4148,   5489,   6483,   7887, 
/* msg =   2306, deg =  6 */    588,   1255,   2648,   4346,   6039,   6287, 
/* msg =   2307, deg =  6 */    146,   2247,   2293,   6300,   7310,   7339, 
/* msg =   2308, deg =  6 */   4304,   4344,   5591,   6232,   7059,   7943, 
/* msg =   2309, deg =  6 */   1335,   2478,   3402,   3677,   5676,   7234, 
/* msg =   2310, deg =  6 */    433,    892,   4057,   6050,   6682,   7158, 
/* msg =   2311, deg =  6 */   1502,   4395,   4399,   4739,   5829,   7966, 
/* msg =   2312, deg =  6 */   2961,   4000,   4607,   5298,   6741,   7800, 
/* msg =   2313, deg =  6 */    506,   1109,   1908,   2605,   3329,   5846, 
/* msg =   2314, deg =  6 */    709,   1856,   1937,   2916,   5358,   6637, 
/* msg =   2315, deg =  6 */   2035,   2868,   4574,   5669,   6055,   7052, 
/* msg =   2316, deg =  6 */    331,   4206,   5315,   6144,   6411,   7606, 
/* msg =   2317, deg =  6 */    857,   1949,   2591,   2683,   3949,   7313, 
/* msg =   2318, deg =  6 */    251,   2082,   2148,   2651,   2945,   3558, 
/* msg =   2319, deg =  6 */    843,   2633,   3547,   3945,   4633,   6982, 
/* msg =   2320, deg =  6 */    500,   1927,   2668,   4670,   4734,   6170, 
/* msg =   2321, deg =  6 */    985,   3800,   4060,   4559,   6772,   7630, 
/* msg =   2322, deg =  6 */   1046,   3791,   5024,   5662,   6084,   6112, 
/* msg =   2323, deg =  6 */   2603,   4391,   4853,   6433,   6616,   6769, 
/* msg =   2324, deg =  6 */   1630,   3434,   4184,   4647,   6606,   6845, 
/* msg =   2325, deg =  6 */    659,   1342,   1627,   3665,   4310,   7165, 
/* msg =   2326, deg =  6 */   3169,   3658,   3747,   5099,   5190,   5687, 
/* msg =   2327, deg =  6 */    482,    996,   1355,   5187,   7441,   7851, 
/* msg =   2328, deg =  6 */    369,    399,   1210,   1311,   2703,   5705, 
/* msg =   2329, deg =  6 */   3075,   3416,   5148,   5311,   6858,   7646, 
/* msg =   2330, deg =  6 */    612,    679,   1257,   3280,   4360,   6077, 
/* msg =   2331, deg =  6 */    980,   1215,   1583,   1822,   2289,   3590, 
/* msg =   2332, deg =  6 */    826,   2008,   2543,   2876,   4905,   4964, 
/* msg =   2333, deg =  6 */   1592,   2038,   3231,   3437,   7602,   7725, 
/* msg =   2334, deg =  6 */    243,    395,   2024,   2512,   4173,   7744, 
/* msg =   2335, deg =  6 */   2272,   2613,   2670,   2884,   2997,   4295, 
/* msg =   2336, deg =  6 */    108,   2705,   3826,   5386,   7437,   7629, 
/* msg =   2337, deg =  6 */   1004,   1912,   3290,   3567,   6119,   7812, 
/* msg =   2338, deg =  6 */    683,   2636,   4312,   4930,   6326,   6354, 
/* msg =   2339, deg =  6 */    584,    594,    923,   4962,   7565,   7756, 
/* msg =   2340, deg =  6 */   1817,   2079,   2843,   4687,   6199,   7387, 
/* msg =   2341, deg =  6 */   2209,   3021,   3485,   4315,   5490,   7115, 
/* msg =   2342, deg =  6 */   1287,   1791,   2057,   3328,   5365,   7983, 
/* msg =   2343, deg =  6 */   1185,   1451,   2366,   2979,   3436,   6356, 
/* msg =   2344, deg =  6 */     66,   2100,   3507,   5114,   6312,   7028, 
/* msg =   2345, deg =  6 */    170,    221,   1222,   1690,   6767,   6988, 
/* msg =   2346, deg =  6 */    596,   1302,   2132,   2500,   3324,   5394, 
/* msg =   2347, deg =  6 */   1765,   1824,   4428,   5991,   6009,   6315, 
/* msg =   2348, deg =  6 */   2382,   3513,   3896,   6471,   6802,   6928, 
/* msg =   2349, deg =  6 */   1536,   2684,   4590,   4801,   7630,   7944, 
/* msg =   2350, deg =  6 */   1540,   4423,   6616,   7204,   7347,   7469, 
/* msg =   2351, deg =  6 */    187,   2725,   3740,   4269,   7028,   7747, 
/* msg =   2352, deg =  6 */    485,   1080,   3481,   3630,   5218,   7452, 
/* msg =   2353, deg =  6 */   4099,   4865,   4997,   6752,   7436,   7473, 
/* msg =   2354, deg =  6 */    208,   1068,   1870,   4453,   5975,   6598, 
/* msg =   2355, deg =  6 */    412,    973,   2449,   5700,   7546,   7653, 
/* msg =   2356, deg =  6 */    279,   1120,   1343,   1486,   1833,   5544, 
/* msg =   2357, deg =  6 */   1621,   1925,   1970,   3463,   4421,   6281, 
/* msg =   2358, deg =  6 */    736,   1170,   4347,   7277,   7477,   7941, 
/* msg =   2359, deg =  6 */    210,   2416,   4106,   5663,   6136,   7651, 
/* msg =   2360, deg =  6 */   3852,   5814,   6001,   6699,   6748,   7503, 
/* msg =   2361, deg =  6 */    791,    821,   2778,   4135,   4337,   6393, 
/* msg =   2362, deg =  6 */   1036,   2418,   4272,   5398,   5674,   7435, 
/* msg =   2363, deg =  6 */   1914,   4709,   5175,   5809,   6441,   7938, 
/* msg =   2364, deg =  6 */    460,    481,   1686,   3395,   3580,   3588, 
/* msg =   2365, deg =  6 */    544,   1256,   3137,   4693,   5137,   7089, 
/* msg =   2366, deg =  6 */   2210,   3282,   3633,   3890,   6681,   7836, 
/* msg =   2367, deg =  6 */    385,    480,   2709,   4187,   4850,   7219, 
/* msg =   2368, deg =  6 */    506,   1887,   3908,   4047,   5141,   7846, 
/* msg =   2369, deg =  6 */   3249,   3654,   4763,   5162,   7202,   7396, 
/* msg =   2370, deg =  6 */    746,   3625,   3902,   6794,   7159,   7734, 
/* msg =   2371, deg =  6 */    393,    767,   3374,   4372,   6578,   6989, 
/* msg =   2372, deg =  6 */    710,   5811,   6390,   6563,   7248,   7955, 
/* msg =   2373, deg =  6 */     80,   3814,   5769,   5899,   6338,   7984, 
/* msg =   2374, deg =  6 */   2122,   3331,   3775,   4062,   5212,   6929, 
/* msg =   2375, deg =  6 */    757,   1095,   2530,   5202,   6384,   6688, 
/* msg =   2376, deg =  6 */   1143,   1144,   1632,   1839,   3677,   7193, 
/* msg =   2377, deg =  6 */   1210,   1260,   2001,   3560,   4086,   7547, 
/* msg =   2378, deg =  6 */    777,   2778,   3360,   4551,   5360,   6212, 
/* msg =   2379, deg =  6 */   1639,   1792,   4740,   5425,   6192,   7106, 
/* msg =   2380, deg =  6 */    808,    861,   3492,   6016,   6361,   6679, 
/* msg =   2381, deg =  6 */     18,   4191,   5580,   5849,   5996,   7354, 
/* msg =   2382, deg =  6 */   1960,   2251,   2572,   5931,   5960,   6142, 
/* msg =   2383, deg =  6 */    999,   1527,   2141,   4245,   4870,   6179, 
/* msg =   2384, deg =  6 */    171,   1144,   1304,   1575,   3515,   5245, 
/* msg =   2385, deg =  6 */     81,    585,   3236,   3314,   7923,   7969, 
/* msg =   2386, deg =  6 */   2027,   3959,   5984,   7083,   7476,   7608, 
/* msg =   2387, deg =  6 */     80,   1030,   2858,   3336,   4381,   7931, 
/* msg =   2388, deg =  6 */   1075,   1406,   5959,   6178,   7142,   7477, 
/* msg =   2389, deg =  6 */    674,   1287,   2039,   3435,   6179,   7957, 
/* msg =   2390, deg =  6 */   1182,   5045,   5257,   5445,   5682,   6113, 
/* msg =   2391, deg =  6 */    120,   1168,   3840,   5170,   5994,   6651, 
/* msg =   2392, deg =  6 */    617,    999,   3974,   6544,   7751,   7858, 
/* msg =   2393, deg =  6 */    297,   2414,   4892,   5643,   6286,   7233, 
/* msg =   2394, deg =  6 */     57,   2104,   2393,   5100,   5184,   6960, 
/* msg =   2395, deg =  6 */    266,   1310,   2220,   3997,   7168,   7470, 
/* msg =   2396, deg =  6 */   2999,   3304,   4533,   5306,   6188,   7531, 
/* msg =   2397, deg =  6 */     28,   1267,   2680,   4138,   4417,   6591, 
/* msg =   2398, deg =  6 */    762,   2415,   3220,   3571,   5360,   7714, 
/* msg =   2399, deg =  6 */   1941,   3296,   3709,   4933,   5338,   5850, 
/* msg =   2400, deg =  6 */   2950,   3010,   3923,   5702,   6010,   7603, 
/* msg =   2401, deg =  6 */   2471,   2772,   3219,   3383,   4860,   7757, 
/* msg =   2402, deg =  6 */    293,   1494,   3187,   3715,   5202,   5780, 
/* msg =   2403, deg =  6 */   1380,   2470,   2644,   2800,   4746,   7067, 
/* msg =   2404, deg =  6 */   1018,   1995,   2658,   3486,   5380,   6400, 
/* msg =   2405, deg =  6 */    959,   1622,   2196,   2250,   3836,   3929, 
/* msg =   2406, deg =  6 */    734,   2130,   2421,   2547,   4617,   5199, 
/* msg =   2407, deg =  6 */   1044,   1419,   2131,   5874,   5884,   7175, 
/* msg =   2408, deg =  6 */    139,   3330,   3934,   5065,   5166,   7293, 
/* msg =   2409, deg =  6 */   1722,   1803,   3250,   3886,   4353,   7813, 
/* msg =   2410, deg =  6 */    510,   1664,   1798,   2184,   2957,   4683, 
/* msg =   2411, deg =  6 */   1591,   1908,   2235,   3946,   5915,   6526, 
/* msg =   2412, deg =  6 */    526,    673,    905,    928,   4511,   7621, 
/* msg =   2413, deg =  6 */   1795,   2544,   2667,   2833,   2889,   6395, 
/* msg =   2414, deg =  6 */    418,   2298,   2723,   5705,   6817,   7078, 
/* msg =   2415, deg =  6 */    462,   2105,   3713,   3812,   6920,   6951, 
/* msg =   2416, deg =  6 */   1192,   3088,   3518,   6891,   7288,   7304, 
/* msg =   2417, deg =  6 */    719,   2386,   3190,   3653,   4021,   4642, 
/* msg =   2418, deg =  6 */   1671,   3977,   4259,   4573,   5110,   6330, 
/* msg =   2419, deg =  6 */   1573,   2887,   5051,   5368,   5599,   6064, 
/* msg =   2420, deg =  6 */    825,    973,   3808,   4502,   4837,   7860, 
/* msg =   2421, deg =  6 */   1036,   1938,   3233,   4033,   4954,   7643, 
/* msg =   2422, deg =  6 */   1602,   4211,   4593,   4798,   4912,   7326, 
/* msg =   2423, deg =  6 */   2789,   3526,   3895,   4973,   6508,   7204, 
/* msg =   2424, deg =  6 */     34,    447,    747,   1829,   3811,   3892, 
/* msg =   2425, deg =  6 */   1123,   1160,   1966,   3265,   4461,   5788, 
/* msg =   2426, deg =  6 */   3916,   5067,   5148,   6583,   6930,   7550, 
/* msg =   2427, deg =  6 */    269,    536,   1667,   7143,   7356,   7544, 
/* msg =   2428, deg =  6 */   2824,   3873,   3897,   6211,   6576,   7483, 
/* msg =   2429, deg =  6 */   1386,   1432,   2599,   3338,   3710,   5081, 
/* msg =   2430, deg =  6 */    690,   1495,   4578,   4613,   7600,   7613, 
/* msg =   2431, deg =  6 */    366,    783,   5300,   5604,   5827,   7723, 
/* msg =   2432, deg =  6 */   1656,   2880,   3654,   4965,   5811,   6262, 
/* msg =   2433, deg =  6 */    240,    816,   2834,   4615,   5326,   5993, 
/* msg =   2434, deg =  6 */   1330,   2430,   4153,   4219,   7354,   7986, 
/* msg =   2435, deg =  6 */    516,   1799,   3071,   3092,   3102,   4409, 
/* msg =   2436, deg =  6 */    632,   1185,   2365,   4222,   6125,   6403, 
/* msg =   2437, deg =  6 */   2025,   2183,   2551,   4730,   5688,   7542, 
/* msg =   2438, deg =  6 */   1223,   1869,   2028,   5005,   7758,   7863, 
/* msg =   2439, deg =  6 */    318,   1033,   1481,   3879,   5703,   6702, 
/* msg =   2440, deg =  6 */   2636,   3868,   5792,   6317,   7384,   7974, 
/* msg =   2441, deg =  6 */   3826,   4155,   4315,   6442,   7468,   7884, 
/* msg =   2442, deg =  6 */   1234,   1279,   1751,   2351,   3096,   3774, 
/* msg =   2443, deg =  6 */   2878,   3535,   4584,   5487,   5751,   6658, 
/* msg =   2444, deg =  6 */    178,    723,   2901,   3150,   4426,   5253, 
/* msg =   2445, deg =  6 */    449,   2335,   3065,   3883,   5398,   6515, 
/* msg =   2446, deg =  6 */    416,   1013,   1169,   2488,   4894,   6363, 
/* msg =   2447, deg =  6 */     21,   1101,   1370,   1576,   3156,   5197, 
/* msg =   2448, deg =  6 */   1483,   2984,   4114,   4183,   5174,   6344, 
/* msg =   2449, deg =  6 */    507,   2635,   4092,   4743,   6674,   7262, 
/* msg =   2450, deg =  6 */   3168,   3495,   4672,   5344,   7368,   7821, 
/* msg =   2451, deg =  6 */   1059,   1070,   2209,   2377,   2700,   6464, 
/* msg =   2452, deg =  6 */    555,   1512,   1661,   2639,   3237,   6652, 
/* msg =   2453, deg =  6 */    278,    579,   4128,   5189,   5628,   6542, 
/* msg =   2454, deg =  6 */     21,    505,   2423,   3900,   5293,   5929, 
/* msg =   2455, deg =  6 */    926,   1468,   4368,   4465,   5391,   5858, 
/* msg =   2456, deg =  6 */    691,   1344,   1543,   2709,   4323,   5251, 
/* msg =   2457, deg =  6 */    948,   1949,   2680,   3311,   4191,   5739, 
/* msg =   2458, deg =  6 */      5,   3142,   4512,   4770,   6204,   6805, 
/* msg =   2459, deg =  6 */   2318,   2434,   3926,   6203,   7637,   7900, 
/* msg =   2460, deg =  6 */   2514,   4337,   4555,   4917,   5441,   6249, 
/* msg =   2461, deg =  6 */   2167,   2274,   4267,   5158,   7624,   7640, 
/* msg =   2462, deg =  6 */     82,    631,   1488,   1975,   4275,   7170, 
/* msg =   2463, deg =  6 */     17,    168,    986,   2513,   3831,   6536, 
/* msg =   2464, deg =  6 */    973,   3980,   4334,   4777,   5679,   7782, 
/* msg =   2465, deg =  6 */    161,   1000,   4262,   4530,   5229,   6977, 
/* msg =   2466, deg =  6 */    312,    611,   1115,   2576,   5266,   6174, 
/* msg =   2467, deg =  6 */   1551,   3602,   4194,   6840,   7031,   7622, 
/* msg =   2468, deg =  6 */   2428,   3118,   3385,   3584,   3982,   7057, 
/* msg =   2469, deg =  6 */      7,   2287,   2480,   3359,   5652,   5798, 
/* msg =   2470, deg =  6 */   2885,   3814,   4234,   4761,   6264,   7222, 
/* msg =   2471, deg =  6 */    111,   1104,   1770,   4618,   5776,   5810, 
/* msg =   2472, deg =  6 */    658,   2953,   5305,   5552,   6207,   7402, 
/* msg =   2473, deg =  6 */   1778,   1946,   4227,   5097,   6374,   6659, 
/* msg =   2474, deg =  6 */   1062,   2542,   3104,   3843,   4506,   5836, 
/* msg =   2475, deg =  6 */    302,    373,   4260,   4384,   7006,   7191, 
/* msg =   2476, deg =  6 */    271,    910,   3389,   4402,   4995,   7766, 
/* msg =   2477, deg =  6 */    182,   2809,   4714,   5717,   6005,   6704, 
/* msg =   2478, deg =  6 */    629,   1856,   2625,   6191,   7089,   7163, 
/* msg =   2479, deg =  6 */     39,   2987,   3258,   3385,   4819,   7305, 
/* msg =   2480, deg =  6 */   2121,   3744,   4680,   5063,   5693,   6047, 
/* msg =   2481, deg =  6 */    125,   3496,   5395,   7453,   7666,   7716, 
/* msg =   2482, deg =  6 */    949,   4882,   5141,   5786,   6414,   7789, 
/* msg =   2483, deg =  6 */   1572,   2473,   3735,   4155,   7164,   7498, 
/* msg =   2484, deg =  6 */    159,    682,   3085,   3688,   4626,   6887, 
/* msg =   2485, deg =  6 */   1114,   4277,   4369,   5364,   6114,   7359, 
/* msg =   2486, deg =  6 */    216,   2201,   2955,   3649,   5014,   6387, 
/* msg =   2487, deg =  6 */   5482,   6492,   6575,   6990,   7585,   7959, 
/* msg =   2488, deg =  6 */   1316,   1365,   3000,   3444,   3537,   5247, 
/* msg =   2489, deg =  6 */    238,   2461,   2615,   2904,   5663,   7596, 
/* msg =   2490, deg =  6 */   3613,   4429,   4518,   4772,   5580,   5724, 
/* msg =   2491, deg =  6 */   1250,   3203,   4981,   7084,   7293,   7833, 
/* msg =   2492, deg =  6 */   1340,   2866,   4336,   5154,   7644,   7747, 
/* msg =   2493, deg =  6 */    497,   1119,   1573,   1905,   5286,   7644, 
/* msg =   2494, deg =  6 */   1126,   1151,   2675,   3622,   3740,   4410, 
/* msg =   2495, deg =  6 */   2281,   2492,   3332,   7017,   7631,   7896, 
/* msg =   2496, deg =  6 */    198,    783,   2722,   3356,   6016,   6540, 
/* msg =   2497, deg =  6 */    443,   1953,   2676,   5710,   6226,   6841, 
/* msg =   2498, deg =  6 */   1165,   2144,   3896,   4774,   4908,   7764, 
/* msg =   2499, deg =  6 */   1927,   2373,   3425,   5267,   7064,   7681, 
/* msg =   2500, deg =  6 */    303,    739,   3254,   3899,   5916,   7315, 
/* msg =   2501, deg =  6 */    836,   2932,   3739,   4026,   4580,   6442, 
/* msg =   2502, deg =  6 */    735,   1741,   2849,   3026,   6783,   7290, 
/* msg =   2503, deg =  6 */    231,    894,   2076,   5530,   5912,   7603, 
/* msg =   2504, deg =  6 */   1318,   1477,   2175,   4845,   4945,   7328, 
/* msg =   2505, deg =  6 */    258,   1093,   2400,   5295,   5862,   7697, 
/* msg =   2506, deg =  6 */    115,   1268,   5187,   7019,   7037,   7771, 
/* msg =   2507, deg =  6 */    796,   3709,   3927,   6760,   7615,   7724, 
/* msg =   2508, deg =  6 */    539,   3966,   4577,   5808,   5933,   6858, 
/* msg =   2509, deg =  6 */   1053,   1274,   1655,   6343,   6680,   7788, 
/* msg =   2510, deg =  6 */   1549,   1877,   4235,   5613,   6497,   7428, 
/* msg =   2511, deg =  6 */   1796,   1805,   3008,   3379,   3419,   7254, 
/* msg =   2512, deg =  6 */   1378,   2303,   4296,   6455,   6457,   7715, 
/* msg =   2513, deg =  6 */     94,   2372,   2387,   2426,   3612,   6100, 
/* msg =   2514, deg =  6 */    939,   3230,   3856,   4022,   4944,   6952, 
/* msg =   2515, deg =  6 */    269,   1715,   4869,   5230,   5700,   7847, 
/* msg =   2516, deg =  6 */    733,    958,   6780,   6830,   7434,   7984, 
/* msg =   2517, deg =  6 */    538,   1958,   2544,   3237,   3581,   5068, 
/* msg =   2518, deg =  6 */    231,    472,    774,   1965,   2091,   6670, 
/* msg =   2519, deg =  6 */   1216,   1354,   3223,   4646,   5876,   7947, 
/* msg =   2520, deg =  6 */   2914,   3302,   6092,   6359,   6968,   7985, 
/* msg =   2521, deg =  6 */    936,   3140,   3350,   5373,   6679,   7490, 
/* msg =   2522, deg =  6 */    250,   1490,   2729,   4488,   6737,   7943, 
/* msg =   2523, deg =  6 */    854,   1644,   2194,   5699,   6739,   7296, 
/* msg =   2524, deg =  6 */   2441,   3176,   5554,   5612,   6645,   7865, 
/* msg =   2525, deg =  6 */    106,   1558,   2053,   2546,   3717,   7830, 
/* msg =   2526, deg =  6 */    371,    626,   1474,   3960,   4570,   7648, 
/* msg =   2527, deg =  6 */    308,   2206,   2297,   3348,   5310,   6691, 
/* msg =   2528, deg =  6 */   1297,   1349,   4316,   4495,   5369,   6609, 
/* msg =   2529, deg =  6 */    875,   1521,   2679,   5124,   6743,   7527, 
/* msg =   2530, deg =  6 */   1085,   3055,   3330,   5007,   6403,   7278, 
/* msg =   2531, deg =  6 */   2476,   3195,   4344,   4688,   6552,   7620, 
/* msg =   2532, deg =  6 */    254,   3081,   5250,   6183,   6217,   6676, 
/* msg =   2533, deg =  6 */    308,    457,   3115,   5163,   6062,   7077, 
/* msg =   2534, deg =  6 */   1678,   2694,   3391,   5510,   6279,   7328, 
/* msg =   2535, deg =  6 */    848,   1137,   2507,   3373,   3828,   7247, 
/* msg =   2536, deg =  6 */   2460,   4605,   6230,   6329,   6986,   7031, 
/* msg =   2537, deg =  6 */     73,   1091,   3014,   4806,   5055,   5691, 
/* msg =   2538, deg =  6 */   2218,   2819,   3640,   4002,   5435,   7466, 
/* msg =   2539, deg =  6 */    913,   5879,   5903,   5983,   6345,   7930, 
/* msg =   2540, deg =  6 */   1961,   2119,   2593,   3226,   7249,   7931, 
/* msg =   2541, deg =  6 */    127,   2339,   3815,   4243,   5260,   6728, 
/* msg =   2542, deg =  6 */   1321,   1883,   6795,   7159,   7189,   7703, 
/* msg =   2543, deg =  6 */   2977,   4028,   4567,   6841,   7087,   7855, 
/* msg =   2544, deg =  6 */    930,   2923,   3399,   5175,   5769,   6625, 
/* msg =   2545, deg =  6 */    737,   1381,   1859,   3110,   6969,   7269, 
/* msg =   2546, deg =  6 */    289,    390,   1208,   1702,   2399,   4389, 
/* msg =   2547, deg =  6 */    497,   1132,   2128,   4239,   6049,   6709, 
/* msg =   2548, deg =  6 */   1555,   2701,   4031,   5563,   6828,   7009, 
/* msg =   2549, deg =  6 */   1077,   4026,   4045,   4611,   5916,   5966, 
/* msg =   2550, deg =  6 */   1691,   2311,   2445,   6176,   6732,   7730, 
/* msg =   2551, deg =  6 */    849,   1181,   1545,   1894,   3913,   6770, 
/* msg =   2552, deg =  6 */    850,   2355,   3466,   4387,   5807,   7158, 
/* msg =   2553, deg =  6 */    391,    645,   4084,   4215,   5923,   7874, 
/* msg =   2554, deg =  6 */     25,   1594,   4779,   5335,   5997,   6618, 
/* msg =   2555, deg =  6 */    869,   1204,   1258,   3657,   4913,   7882, 
/* msg =   2556, deg =  6 */   2922,   4609,   4836,   4926,   6022,   7771, 
/* msg =   2557, deg =  6 */   2844,   2911,   3236,   3648,   5900,   6578, 
/* msg =   2558, deg =  6 */   1897,   2707,   6431,   6545,   7530,   7936, 
/* msg =   2559, deg =  6 */    777,   2856,   4414,   4968,   6582,   6915, 
/* msg =   2560, deg =  6 */    309,   1309,   3458,   5321,   6018,   7862, 
/* msg =   2561, deg =  6 */   2832,   5178,   5421,   6203,   7061,   7257, 
/* msg =   2562, deg =  6 */     22,    735,   1133,   1637,   2307,   7030, 
/* msg =   2563, deg =  6 */    694,   1164,   2991,   4895,   5336,   6641, 
/* msg =   2564, deg =  6 */    154,    660,   3319,   4845,   6700,   7551, 
/* msg =   2565, deg =  6 */    817,   3229,   3388,   6398,   6615,   7934, 
/* msg =   2566, deg =  6 */   2254,   2875,   3523,   5946,   6137,   6478, 
/* msg =   2567, deg =  6 */    260,    339,   3130,   5149,   6592,   7524, 
/* msg =   2568, deg =  6 */    246,    389,   2660,   4857,   5341,   5715, 
/* msg =   2569, deg =  6 */    261,    290,   4335,   4597,   6596,   7132, 
/* msg =   2570, deg =  6 */   1000,   4290,   4612,   5439,   7308,   7897, 
/* msg =   2571, deg =  6 */    721,   1918,   4599,   5444,   6255,   6643, 
/* msg =   2572, deg =  6 */    120,   1188,   2876,   6410,   7143,   7698, 
/* msg =   2573, deg =  6 */   2107,   3283,   3589,   4653,   5648,   7129, 
/* msg =   2574, deg =  6 */   1485,   1654,   1815,   2352,   3666,   7340, 
/* msg =   2575, deg =  6 */    325,   3404,   4385,   5146,   6261,   7390, 
/* msg =   2576, deg =  6 */    376,   1379,   3155,   5061,   6518,   7012, 
/* msg =   2577, deg =  6 */   1895,   2208,   3181,   3322,   3651,   6628, 
/* msg =   2578, deg =  6 */   5589,   6479,   6831,   7212,   7290,   7511, 
/* msg =   2579, deg =  6 */   2620,   3602,   4501,   4884,   6085,   6159, 
/* msg =   2580, deg =  6 */   1021,   1331,   3422,   3830,   6075,   7802, 
/* msg =   2581, deg =  6 */   3113,   3284,   4445,   5596,   6559,   7125, 
/* msg =   2582, deg =  6 */    621,   1155,   3016,   5967,   6254,   7312, 
/* msg =   2583, deg =  6 */    352,    460,    707,   2111,   5637,   7246, 
/* msg =   2584, deg =  6 */    414,   2013,   2205,   4172,   4950,   6266, 
/* msg =   2585, deg =  6 */    574,   1711,   2447,   5052,   6946,   7313, 
/* msg =   2586, deg =  6 */      5,     75,    433,   2981,   4669,   5260, 
/* msg =   2587, deg =  6 */   1565,   1973,   2556,   2697,   2784,   7726, 
/* msg =   2588, deg =  6 */    447,    864,   1503,   1528,   3886,   6772, 
/* msg =   2589, deg =  6 */     95,    186,    212,   1402,   4434,   7896, 
/* msg =   2590, deg =  6 */     41,    314,   1488,   2754,   6439,   6642, 
/* msg =   2591, deg =  6 */   1210,   2753,   5890,   6218,   6373,   7562, 
/* msg =   2592, deg =  6 */    452,   1516,   2428,   2664,   3045,   7682, 
/* msg =   2593, deg =  6 */    561,   1321,   2236,   2808,   4402,   6777, 
/* msg =   2594, deg =  6 */    677,    772,   3575,   4278,   4780,   7956, 
/* msg =   2595, deg =  6 */    144,    567,   4783,   7028,   7070,   7096, 
/* msg =   2596, deg =  6 */   2930,   2983,   3447,   6613,   7350,   7976, 
/* msg =   2597, deg =  6 */    499,   1401,   3667,   4051,   4320,   7552, 
/* msg =   2598, deg =  6 */    999,   1690,   2847,   4387,   5338,   6685, 
/* msg =   2599, deg =  6 */   2228,   2619,   3691,   5319,   6715,   6810, 
/* msg =   2600, deg =  6 */    241,    818,   2776,   3007,   3162,   5970, 
/* msg =   2601, deg =  6 */   1228,   1573,   3628,   5000,   5534,   7229, 
/* msg =   2602, deg =  6 */    332,    740,   3340,   5595,   6355,   7694, 
/* msg =   2603, deg =  6 */    360,   2519,   4061,   4112,   5883,   7804, 
/* msg =   2604, deg =  6 */   3321,   3593,   3783,   4937,   5140,   7627, 
/* msg =   2605, deg =  6 */    233,   4180,   4929,   5056,   6701,   7220, 
/* msg =   2606, deg =  6 */    328,    830,   2115,   4209,   6022,   7016, 
/* msg =   2607, deg =  6 */    313,    368,   1443,   2348,   3595,   7122, 
/* msg =   2608, deg =  6 */    547,   2357,   2600,   3609,   4776,   5023, 
/* msg =   2609, deg =  6 */   1604,   4068,   4861,   6782,   7363,   7691, 
/* msg =   2610, deg =  6 */   2396,   4232,   6066,   6152,   6235,   7291, 
/* msg =   2611, deg =  6 */   1467,   2938,   4255,   4968,   6393,   6561, 
/* msg =   2612, deg =  6 */   2792,   3743,   4418,   6496,   7423,   7661, 
/* msg =   2613, deg =  6 */     96,    499,   1741,   2456,   6324,   6517, 
/* msg =   2614, deg =  6 */    177,   2185,   4265,   6646,   6831,   7770, 
/* msg =   2615, deg =  6 */    881,   1674,   1890,   2955,   5553,   7799, 
/* msg =   2616, deg =  6 */    554,   3377,   3951,   4196,   5708,   7493, 
/* msg =   2617, deg =  6 */   4874,   5323,   6089,   6864,   7077,   7131, 
/* msg =   2618, deg =  6 */    891,   1964,   3225,   4493,   5294,   7091, 
/* msg =   2619, deg =  6 */    121,   2305,   3063,   4685,   6735,   7909, 
/* msg =   2620, deg =  6 */   1041,   1142,   1681,   6434,   6488,   7171, 
/* msg =   2621, deg =  6 */   1633,   2001,   3043,   4509,   6523,   7482, 
/* msg =   2622, deg =  6 */   1104,   3008,   3460,   5661,   7117,   7328, 
/* msg =   2623, deg =  6 */   1954,   2688,   2733,   5895,   6575,   7194, 
/* msg =   2624, deg =  6 */    292,   2081,   2392,   2456,   4150,   4490, 
/* msg =   2625, deg =  6 */    989,   1024,   2813,   3295,   4532,   6382, 
/* msg =   2626, deg =  6 */    232,    729,   2644,   4126,   4539,   7415, 
/* msg =   2627, deg =  6 */    763,   1054,   2417,   2553,   6068,   6156, 
/* msg =   2628, deg =  6 */    383,   1154,   1178,   1923,   5123,   6443, 
/* msg =   2629, deg =  6 */    560,   1032,   2554,   2940,   4187,   5267, 
/* msg =   2630, deg =  6 */    818,   1553,   2153,   3525,   4703,   6765, 
/* msg =   2631, deg =  6 */    466,   1166,   3440,   4042,   5400,   7050, 
/* msg =   2632, deg =  6 */    653,    860,   2382,   3212,   3218,   4471, 
/* msg =   2633, deg =  6 */     39,     58,   1366,   1897,   6216,   6475, 
/* msg =   2634, deg =  6 */   2065,   4063,   5105,   6850,   6946,   7183, 
/* msg =   2635, deg =  6 */    103,    262,   2560,   4611,   5554,   7074, 
/* msg =   2636, deg =  6 */   2503,   2762,   2790,   3363,   6566,   7121, 
/* msg =   2637, deg =  6 */   1732,   2205,   3495,   4923,   5659,   6026, 
/* msg =   2638, deg =  6 */    127,   2775,   5392,   5998,   6930,   7199, 
/* msg =   2639, deg =  6 */    963,   2406,   2947,   4707,   5678,   7286, 
/* msg =   2640, deg =  6 */    218,   1230,   2248,   4609,   6488,   6856, 
/* msg =   2641, deg =  6 */   1988,   2381,   2473,   4571,   6292,   6758, 
/* msg =   2642, deg =  6 */   1022,   1461,   1719,   7527,   7609,   7769, 
/* msg =   2643, deg =  6 */   2108,   2293,   5917,   6248,   6820,   7273, 
/* msg =   2644, deg =  6 */    623,   1645,   3727,   5209,   7056,   7822, 
/* msg =   2645, deg =  6 */    102,    652,   1020,   5346,   7792,   7886, 
/* msg =   2646, deg =  6 */     24,   2208,   4118,   4661,   5609,   7906, 
/* msg =   2647, deg =  6 */    205,   5033,   5142,   5638,   6137,   6490, 
/* msg =   2648, deg =  6 */   1436,   3462,   4427,   4720,   5969,   6873, 
/* msg =   2649, deg =  6 */   1799,   3094,   3097,   4372,   6893,   7502, 
/* msg =   2650, deg =  6 */      7,    175,   3536,   5480,   7209,   7856, 
/* msg =   2651, deg =  6 */     60,    743,   2097,   4397,   5012,   5776, 
/* msg =   2652, deg =  6 */    502,   3641,   3950,   3995,   4586,   5140, 
/* msg =   2653, deg =  6 */    413,   2931,   3866,   6105,   7418,   7799, 
/* msg =   2654, deg =  6 */   1444,   1534,   1960,   3979,   6733,   7762, 
/* msg =   2655, deg =  6 */    852,   3605,   5407,   6148,   6596,   7141, 
/* msg =   2656, deg =  6 */   4613,   4751,   5628,   5826,   5885,   6780, 
/* msg =   2657, deg =  6 */    384,    830,   1308,   1579,   4932,   7237, 
/* msg =   2658, deg =  6 */    835,   1544,   4197,   6719,   7139,   7370, 
/* msg =   2659, deg =  6 */    312,   2001,   4842,   4881,   5652,   7602, 
/* msg =   2660, deg =  6 */    786,   2896,   3239,   4134,   4521,   6579, 
/* msg =   2661, deg =  6 */    148,    542,   1676,   1941,   3655,   5991, 
/* msg =   2662, deg =  6 */   1142,   1377,   1456,   3944,   5650,   6259, 
/* msg =   2663, deg =  6 */     90,    158,    887,   1243,   3060,   5124, 
/* msg =   2664, deg =  6 */    180,   4145,   4364,   5089,   5479,   5886, 
/* msg =   2665, deg =  6 */    300,   1158,   2621,   2964,   5034,   7025, 
/* msg =   2666, deg =  6 */   3479,   3731,   3802,   4217,   5192,   6491, 
/* msg =   2667, deg =  6 */    903,   1219,   1810,   4248,   5384,   7179, 
/* msg =   2668, deg =  6 */    270,    716,   1385,   2582,   3531,   7919, 
/* msg =   2669, deg =  6 */    449,   1250,   2356,   2586,   7718,   7956, 
/* msg =   2670, deg =  6 */   1541,   2263,   3369,   4334,   4444,   5978, 
/* msg =   2671, deg =  6 */    438,   1413,   2976,   4159,   4694,   6865, 
/* msg =   2672, deg =  6 */    277,   2826,   5095,   5748,   6984,   7376, 
/* msg =   2673, deg =  6 */    295,   1382,   2126,   5758,   6047,   7652, 
/* msg =   2674, deg =  6 */   1756,   3816,   4370,   6427,   6693,   7700, 
/* msg =   2675, deg =  6 */     53,    721,    937,   1579,   2530,   5987, 
/* msg =   2676, deg =  6 */     27,    501,   3480,   6358,   6397,   7116, 
/* msg =   2677, deg =  6 */   2135,   2906,   3580,   3995,   4754,   5614, 
/* msg =   2678, deg =  6 */    907,   2695,   2871,   6530,   6575,   6869, 
/* msg =   2679, deg =  6 */   2303,   2525,   2862,   3316,   4351,   7684, 
/* msg =   2680, deg =  6 */   1152,   1452,   3476,   5504,   7190,   7705, 
/* msg =   2681, deg =  6 */   1046,   2006,   2879,   3538,   4197,   6292, 
/* msg =   2682, deg =  6 */   3040,   3826,   4265,   5290,   7046,   7093, 
/* msg =   2683, deg =  6 */   3316,   3563,   4547,   5654,   6347,   6713, 
/* msg =   2684, deg =  6 */     71,    875,   1087,   3107,   3626,   4527, 
/* msg =   2685, deg =  6 */   1636,   4758,   5561,   6862,   7010,   7344, 
/* msg =   2686, deg =  6 */   2539,   3043,   4677,   5826,   6943,   7331, 
/* msg =   2687, deg =  6 */    187,   2281,   2316,   2555,   3994,   7506, 
/* msg =   2688, deg =  6 */    773,   1415,   3185,   4006,   5741,   7406, 
/* msg =   2689, deg =  6 */   2347,   2918,   3937,   4256,   6103,   7706, 
/* msg =   2690, deg =  6 */    507,   1535,   3429,   4431,   5356,   7556, 
/* msg =   2691, deg =  6 */   4186,   4508,   4526,   4932,   5303,   6268, 
/* msg =   2692, deg =  6 */    983,   1294,   2216,   3565,   5066,   5285, 
/* msg =   2693, deg =  6 */    812,   2284,   4383,   6779,   6944,   6991, 
/* msg =   2694, deg =  6 */   1147,   2646,   5675,   6971,   7187,   7192, 
/* msg =   2695, deg =  6 */      8,    103,   2578,   4697,   5328,   7197, 
/* msg =   2696, deg =  6 */   2210,   2504,   3426,   4324,   6579,   7670, 
/* msg =   2697, deg =  6 */    386,    684,   3891,   3935,   5217,   7094, 
/* msg =   2698, deg =  6 */    499,   3831,   4426,   5460,   6058,   6955, 
/* msg =   2699, deg =  6 */   3364,   3610,   3956,   5523,   6457,   7745, 
/* msg =   2700, deg =  6 */   1954,   2900,   3475,   4525,   4909,   5235, 
/* msg =   2701, deg =  6 */    214,   2178,   2181,   3805,   5072,   7038, 
/* msg =   2702, deg =  6 */    299,   2848,   4134,   5220,   5315,   6581, 
/* msg =   2703, deg =  6 */     61,    338,   3562,   4723,   6325,   7960, 
/* msg =   2704, deg =  6 */   1347,   3160,   3685,   5525,   7019,   7372, 
/* msg =   2705, deg =  6 */   1158,   1423,   3281,   3798,   6923,   6942, 
/* msg =   2706, deg =  6 */   1082,   1684,   1893,   3232,   4860,   6074, 
/* msg =   2707, deg =  6 */   2694,   2915,   3491,   3569,   4208,   5259, 
/* msg =   2708, deg =  6 */    877,   2270,   2772,   3823,   6533,   7137, 
/* msg =   2709, deg =  6 */    105,   1862,   2452,   2710,   5781,   7677, 
/* msg =   2710, deg =  6 */   2512,   2596,   4514,   4965,   5974,   7072, 
/* msg =   2711, deg =  6 */    344,   1129,   2455,   5980,   6600,   7760, 
/* msg =   2712, deg =  6 */    353,   3789,   3874,   4750,   5244,   6691, 
/* msg =   2713, deg =  6 */    381,    954,   1055,   4204,   5332,   5535, 
/* msg =   2714, deg =  6 */   1217,   1875,   2975,   3028,   4132,   6307, 
/* msg =   2715, deg =  6 */    664,   3053,   3103,   4396,   6337,   7060, 
/* msg =   2716, deg =  6 */    698,   2239,   3051,   3231,   6800,   6843, 
/* msg =   2717, deg =  6 */    660,   4246,   4996,   5058,   5338,   6284, 
/* msg =   2718, deg =  6 */   2746,   2830,   3034,   4240,   4518,   7728, 
/* msg =   2719, deg =  6 */   1439,   1462,   2567,   3480,   4977,   5142, 
/* msg =   2720, deg =  6 */     24,   3390,   4460,   4477,   4839,   6167, 
/* msg =   2721, deg =  6 */   4592,   5356,   6336,   6721,   7775,   7829, 
/* msg =   2722, deg =  6 */   3970,   5647,   5835,   6533,   7207,   7496, 
/* msg =   2723, deg =  6 */   1969,   2261,   3346,   4523,   4679,   5427, 
/* msg =   2724, deg =  6 */    476,   1350,   2146,   2971,   3089,   7403, 
/* msg =   2725, deg =  6 */     96,    800,   2864,   4626,   4812,   4950, 
/* msg =   2726, deg =  6 */    829,   1051,   1198,   2529,   3044,   5844, 
/* msg =   2727, deg =  6 */    264,   1677,   1695,   2804,   6984,   7357, 
/* msg =   2728, deg =  6 */     81,    141,   1578,   2350,   3298,   7161, 
/* msg =   2729, deg =  6 */   2187,   2192,   4926,   5740,   6570,   6703, 
/* msg =   2730, deg =  6 */    427,   1181,   1634,   1961,   5917,   7162, 
/* msg =   2731, deg =  6 */    496,   1444,   4568,   4671,   5513,   5979, 
/* msg =   2732, deg =  6 */   3403,   4081,   4260,   5220,   5951,   7790, 
/* msg =   2733, deg =  6 */    462,   2842,   4044,   5118,   7085,   7556, 
/* msg =   2734, deg =  6 */   1232,   1532,   2580,   3959,   4444,   4712, 
/* msg =   2735, deg =  6 */   1137,   2632,   3306,   4401,   6734,   7351, 
/* msg =   2736, deg =  6 */    571,   2050,   5514,   6046,   7511,   7587, 
/* msg =   2737, deg =  6 */   1159,   2536,   4297,   4946,   6050,   7783, 
/* msg =   2738, deg =  6 */    563,   1216,   2676,   2806,   6545,   7070, 
/* msg =   2739, deg =  6 */    708,   2598,   5305,   6088,   6801,   7560, 
/* msg =   2740, deg =  6 */     91,    270,   2540,   7672,   7692,   7957, 
/* msg =   2741, deg =  6 */   2628,   3006,   4614,   5268,   7434,   7567, 
/* msg =   2742, deg =  6 */     73,   1932,   3834,   4012,   5624,   7665, 
/* msg =   2743, deg =  6 */    401,   2715,   5271,   5661,   7831,   7853, 
/* msg =   2744, deg =  6 */     92,   1779,   1790,   2721,   2746,   5815, 
/* msg =   2745, deg =  6 */   2500,   2631,   4305,   5776,   5785,   6837, 
/* msg =   2746, deg =  6 */    718,   1545,   1624,   2479,   4154,   6167, 
/* msg =   2747, deg =  6 */   1318,   1665,   2225,   3670,   3952,   4022, 
/* msg =   2748, deg =  6 */    354,   1476,   2088,   2099,   3130,   6504, 
/* msg =   2749, deg =  6 */    213,   1840,   2202,   3039,   5686,   6834, 
/* msg =   2750, deg =  6 */    969,   1254,   2068,   2775,   3076,   6106, 
/* msg =   2751, deg =  6 */    976,   1733,   4363,   5710,   6046,   6133, 
/* msg =   2752, deg =  6 */    824,    947,   5659,   6206,   6251,   6760, 
/* msg =   2753, deg =  6 */    944,   4127,   6058,   6473,   6911,   7187, 
/* msg =   2754, deg =  6 */    646,    775,   1812,   4664,   5685,   7798, 
/* msg =   2755, deg =  6 */    200,    550,    588,   3143,   7233,   7277, 
/* msg =   2756, deg =  6 */    345,   2921,   2990,   3285,   4975,   5259, 
/* msg =   2757, deg =  6 */    108,   1284,   3865,   4952,   5910,   7084, 
/* msg =   2758, deg =  6 */    962,   2631,   3335,   4318,   6238,   7412, 
/* msg =   2759, deg =  6 */   2243,   3657,   3743,   4280,   6329,   6577, 
/* msg =   2760, deg =  6 */     74,   1637,   3387,   4022,   5119,   7632, 
/* msg =   2761, deg =  6 */   2006,   2388,   5489,   5639,   6971,   7910, 
/* msg =   2762, deg =  6 */   1087,   1299,   3995,   4572,   7249,   7616, 
/* msg =   2763, deg =  6 */    218,    942,   4887,   7015,   7256,   7722, 
/* msg =   2764, deg =  6 */     51,    656,   2491,   2944,   4986,   6131, 
/* msg =   2765, deg =  6 */    661,   1392,   2479,   6426,   6588,   7684, 
/* msg =   2766, deg =  6 */    657,    906,   1913,   2712,   3471,   6483, 
/* msg =   2767, deg =  6 */     87,   1648,   3801,   3983,   5581,   7825, 
/* msg =   2768, deg =  6 */   1821,   2634,   5712,   5934,   6334,   6480, 
/* msg =   2769, deg =  6 */    344,   2318,   3028,   3755,   4874,   5032, 
/* msg =   2770, deg =  6 */   2059,   3742,   5885,   5976,   6189,   6912, 
/* msg =   2771, deg =  6 */    397,   1153,   2838,   4056,   5029,   7980, 
/* msg =   2772, deg =  6 */   4050,   4176,   4485,   4930,   6243,   7785, 
/* msg =   2773, deg =  6 */    307,   1818,   2489,   2511,   2575,   3326, 
/* msg =   2774, deg =  6 */     92,   2003,   3759,   3861,   4668,   6680, 
/* msg =   2775, deg =  6 */    123,   2981,   3893,   4126,   5709,   6247, 
/* msg =   2776, deg =  6 */   2587,   3223,   3341,   3407,   5016,   6867, 
/* msg =   2777, deg =  6 */   1102,   3802,   4890,   4934,   5400,   6642, 
/* msg =   2778, deg =  6 */    282,    964,   3432,   5881,   6541,   7517, 
/* msg =   2779, deg =  6 */   1081,   3299,   4423,   5191,   6978,   7761, 
/* msg =   2780, deg =  6 */    437,    769,   1969,   3851,   4724,   7284, 
/* msg =   2781, deg =  6 */   2042,   3215,   3248,   4920,   5540,   6869, 
/* msg =   2782, deg =  6 */    990,   1482,   2487,   2779,   3720,   6290, 
/* msg =   2783, deg =  6 */   2124,   5085,   5392,   5559,   6557,   6830, 
/* msg =   2784, deg =  6 */   2936,   3485,   4921,   5079,   7589,   7778, 
/* msg =   2785, deg =  6 */     69,   2690,   3134,   3990,   4469,   6563, 
/* msg =   2786, deg =  6 */   1776,   3637,   3959,   5092,   5222,   7640, 
/* msg =   2787, deg =  6 */    305,   1166,   2471,   5345,   5378,   6433, 
/* msg =   2788, deg =  6 */   2909,   3373,   3638,   3803,   3832,   4366, 
/* msg =   2789, deg =  6 */    592,   1440,   3017,   4787,   7169,   7761, 
/* msg =   2790, deg =  6 */   1174,   1832,   3003,   3975,   5219,   6938, 
/* msg =   2791, deg =  6 */    456,   1026,   5192,   6148,   6301,   7755, 
/* msg =   2792, deg =  6 */    212,    844,   3228,   6116,   6256,   7774, 
/* msg =   2793, deg =  6 */   1721,   1857,   2331,   2630,   4487,   5491, 
/* msg =   2794, deg =  6 */   1471,   3222,   3335,   4346,   5134,   7680, 
/* msg =   2795, deg =  6 */   1972,   2758,   5581,   5801,   5851,   7361, 
/* msg =   2796, deg =  6 */   1510,   3287,   4291,   6194,   7265,   7695, 
/* msg =   2797, deg =  6 */    103,   2260,   4682,   4812,   6530,   7457, 
/* msg =   2798, deg =  6 */    261,   1139,   5670,   7219,   7502,   7985, 
/* msg =   2799, deg =  6 */    534,    877,   1257,   1530,   3761,   4380, 
/* msg =   2800, deg =  6 */    234,    627,    712,   4301,   4378,   7306, 
/* msg =   2801, deg =  6 */    920,   2074,   3523,   4557,   5387,   7455, 
/* msg =   2802, deg =  6 */   2955,   4838,   5054,   5310,   5632,   6888, 
/* msg =   2803, deg =  6 */    272,   1571,   1786,   6194,   6285,   7469, 
/* msg =   2804, deg =  6 */     98,    754,   2454,   2894,   3405,   5560, 
/* msg =   2805, deg =  6 */    913,   2415,   3111,   4608,   6712,   7927, 
/* msg =   2806, deg =  6 */     57,   3358,   5363,   5643,   5731,   6140, 
/* msg =   2807, deg =  6 */   2232,   2463,   2506,   4064,   4673,   6260, 
/* msg =   2808, deg =  6 */   2220,   2419,   2747,   3688,   5761,   5990, 
/* msg =   2809, deg =  6 */   3423,   3921,   5374,   5978,   6823,   7424, 
/* msg =   2810, deg =  6 */    710,   2257,   2286,   2648,   5360,   6290, 
/* msg =   2811, deg =  6 */    374,   1001,   1351,   3226,   3670,   4924, 
/* msg =   2812, deg =  6 */    883,   1064,   1749,   2736,   5251,   7551, 
/* msg =   2813, deg =  6 */    681,    954,    962,   4285,   5394,   6835, 
/* msg =   2814, deg =  6 */   1574,   2505,   4708,   6295,   6904,   7073, 
/* msg =   2815, deg =  6 */     51,   2038,   2708,   6127,   6420,   6492, 
/* msg =   2816, deg =  6 */    662,   1252,   3733,   4424,   6518,   7497, 
/* msg =   2817, deg =  6 */   3551,   3676,   5677,   5694,   6509,   7732, 
/* msg =   2818, deg =  6 */   1066,   1260,   3559,   5428,   5913,   7190, 
/* msg =   2819, deg =  6 */    366,    808,   1662,   6621,   7178,   7878, 
/* msg =   2820, deg =  6 */   2260,   2546,   2643,   3133,   4795,   7515, 
/* msg =   2821, deg =  6 */   1555,   2092,   3153,   4361,   6419,   7538, 
/* msg =   2822, deg =  6 */   1660,   1838,   2593,   3275,   3332,   4893, 
/* msg =   2823, deg =  6 */    237,    513,   1247,   2290,   3718,   4200, 
/* msg =   2824, deg =  6 */   1506,   1580,   3039,   3651,   4198,   4628, 
/* msg =   2825, deg =  6 */   1464,   3064,   5240,   6262,   7486,   7626, 
/* msg =   2826, deg =  6 */    782,   3933,   4994,   5580,   6379,   7152, 
/* msg =   2827, deg =  6 */    381,   1191,   1427,   1530,   4105,   6212, 
/* msg =   2828, deg =  6 */   4255,   4729,   5277,   6693,   6706,   7712, 
/* msg =   2829, deg =  6 */    726,   1801,   2728,   2992,   7733,   7965, 
/* msg =   2830, deg =  6 */    196,   2705,   2904,   4173,   5916,   7436, 
/* msg =   2831, deg =  6 */   1077,   1869,   4397,   4756,   6106,   7515, 
/* msg =   2832, deg =  6 */    893,   1355,   2390,   3421,   3597,   7825, 
/* msg =   2833, deg =  6 */    118,    890,   2509,   3258,   3603,   3792, 
/* msg =   2834, deg =  6 */    289,   1712,   4441,   4605,   6781,   7868, 
/* msg =   2835, deg =  6 */   2183,   3509,   4391,   4483,   5647,   6828, 
/* msg =   2836, deg =  6 */    542,   1757,   3808,   6645,   7029,   7214, 
/* msg =   2837, deg =  6 */   3229,   5872,   6582,   6838,   6857,   7733, 
/* msg =   2838, deg =  6 */   1703,   2546,   3004,   5023,   5039,   7468, 
/* msg =   2839, deg =  6 */   2089,   3159,   3666,   5253,   5855,   6626, 
/* msg =   2840, deg =  6 */     56,   2517,   4219,   5730,   5824,   7456, 
/* msg =   2841, deg =  6 */   1871,   2683,   3525,   4872,   7085,   7201, 
/* msg =   2842, deg =  6 */   1859,   2103,   2562,   4996,   6863,   6988, 
/* msg =   2843, deg =  6 */   1085,   4168,   5055,   5511,   6178,   6580, 
/* msg =   2844, deg =  6 */   1152,   1727,   3526,   4090,   4140,   7910, 
/* msg =   2845, deg =  6 */    275,    308,    851,   3149,   4961,   6268, 
/* msg =   2846, deg =  6 */   2309,   2534,   3856,   5539,   5893,   7756, 
/* msg =   2847, deg =  6 */    502,   1363,   2654,   5887,   6884,   6954, 
/* msg =   2848, deg =  6 */   1957,   2983,   5024,   5083,   6757,   7379, 
/* msg =   2849, deg =  6 */    727,   1040,   2113,   3577,   4831,   7268, 
/* msg =   2850, deg =  6 */    338,    395,   1189,   1524,   4660,   5983, 
/* msg =   2851, deg =  6 */     49,   1111,   2359,   2948,   5478,   5856, 
/* msg =   2852, deg =  6 */   1499,   5017,   5857,   5895,   6642,   7819, 
/* msg =   2853, deg =  6 */   4005,   4707,   5379,   7182,   7267,   7906, 
/* msg =   2854, deg =  6 */   2509,   5170,   5402,   5841,   6493,   7877, 
/* msg =   2855, deg =  6 */   1608,   1750,   3032,   4764,   5247,   6829, 
/* msg =   2856, deg =  6 */    526,   2145,   4045,   4480,   7192,   7343, 
/* msg =   2857, deg =  6 */   1674,   1729,   1836,   3808,   4304,   7245, 
/* msg =   2858, deg =  6 */    198,    870,   1171,   3706,   6831,   7997, 
/* msg =   2859, deg =  6 */    367,    677,   2472,   3821,   4712,   7321, 
/* msg =   2860, deg =  6 */    265,   5213,   5740,   6936,   7434,   7484, 
/* msg =   2861, deg =  6 */   1816,   2890,   3347,   5365,   5581,   6412, 
/* msg =   2862, deg =  6 */    350,   4710,   4750,   6875,   7620,   7749, 
/* msg =   2863, deg =  6 */   2317,   3975,   4790,   5097,   5238,   6861, 
/* msg =   2864, deg =  6 */   3106,   3116,   3136,   3626,   3644,   6442, 
/* msg =   2865, deg =  6 */     70,   1143,   1611,   1834,   1987,   4247, 
/* msg =   2866, deg =  6 */    276,    439,   2934,   3914,   6963,   7499, 
/* msg =   2867, deg =  6 */    352,   1500,   3407,   3912,   5371,   5605, 
/* msg =   2868, deg =  6 */   1619,   1625,   3071,   3356,   3792,   4311, 
/* msg =   2869, deg =  6 */   1860,   4572,   5015,   5238,   5988,   7553, 
/* msg =   2870, deg =  6 */   1324,   2757,   3079,   3942,   5945,   7914, 
/* msg =   2871, deg =  6 */    554,   1071,   3697,   6768,   7022,   7132, 
/* msg =   2872, deg =  6 */    620,   1907,   4995,   5439,   5733,   6372, 
/* msg =   2873, deg =  6 */    924,   3368,   4712,   5586,   5637,   7982, 
/* msg =   2874, deg =  6 */    960,   1008,   1322,   3473,   6753,   7176, 
/* msg =   2875, deg =  6 */    552,   1311,   1541,   3813,   7413,   7554, 
/* msg =   2876, deg =  6 */    985,   2309,   2393,   5716,   7172,   7713, 
/* msg =   2877, deg =  6 */   1682,   2589,   3379,   4551,   4797,   6472, 
/* msg =   2878, deg =  6 */   1454,   4610,   5296,   5378,   6754,   7730, 
/* msg =   2879, deg =  6 */    204,   2004,   2424,   4882,   5762,   5977, 
/* msg =   2880, deg =  6 */   3923,   4313,   4788,   5586,   6334,   7498, 
/* msg =   2881, deg =  6 */   1513,   1522,   1662,   1848,   4582,   6005, 
/* msg =   2882, deg =  6 */    546,   3591,   5998,   6755,   7140,   7291, 
/* msg =   2883, deg =  6 */   1222,   2060,   4748,   4832,   5675,   7295, 
/* msg =   2884, deg =  6 */    807,   1447,   2252,   4204,   5613,   6710, 
/* msg =   2885, deg =  6 */    681,   1505,   3167,   4607,   5042,   6813, 
/* msg =   2886, deg =  6 */    969,   2223,   4674,   6996,   7119,   7936, 
/* msg =   2887, deg =  6 */    600,   1248,   1534,   2418,   3684,   6590, 
/* msg =   2888, deg =  6 */    989,   2148,   2893,   4192,   5869,   7886, 
/* msg =   2889, deg =  6 */   1727,   2228,   2408,   2477,   5898,   7648, 
/* msg =   2890, deg =  6 */   1564,   1726,   5425,   5628,   5694,   5722, 
/* msg =   2891, deg =  6 */   1359,   2214,   2726,   3355,   6972,   7549, 
/* msg =   2892, deg =  6 */    560,    865,   1346,   4218,   4645,   6733, 
/* msg =   2893, deg =  6 */    448,    802,   2318,   2502,   2842,   2847, 
/* msg =   2894, deg =  6 */   1284,   2607,   5300,   6068,   6433,   7401, 
/* msg =   2895, deg =  6 */     27,    202,    215,   5157,   5287,   6876, 
/* msg =   2896, deg =  6 */     46,   2120,   2153,   3169,   5522,   7790, 
/* msg =   2897, deg =  6 */    340,   2056,   2463,   3426,   5262,   7841, 
/* msg =   2898, deg =  6 */    364,   2823,   3555,   4024,   4560,   5979, 
/* msg =   2899, deg =  6 */    750,   1895,   4008,   5062,   7500,   7809, 
/* msg =   2900, deg =  6 */    450,    719,   3586,   4936,   6357,   7476, 
/* msg =   2901, deg =  6 */   1209,   2624,   3162,   3178,   3653,   5339, 
/* msg =   2902, deg =  6 */    614,    755,   1008,   2774,   4225,   4282, 
/* msg =   2903, deg =  6 */   1713,   1843,   2037,   2868,   4903,   5169, 
/* msg =   2904, deg =  6 */    887,   4241,   4416,   4642,   7455,   7585, 
/* msg =   2905, deg =  6 */    476,    537,   2188,   2813,   4195,   6408, 
/* msg =   2906, deg =  6 */   1084,   1597,   2434,   2841,   6379,   6704, 
/* msg =   2907, deg =  6 */   1089,   2766,   2870,   3695,   5449,   6475, 
/* msg =   2908, deg =  6 */     28,    378,   1553,   5965,   6015,   7341, 
/* msg =   2909, deg =  6 */   1744,   3074,   5019,   5821,   7339,   7909, 
/* msg =   2910, deg =  6 */    551,    607,   4603,   4834,   5981,   7112, 
/* msg =   2911, deg =  6 */   2902,   3912,   6083,   6229,   7106,   7861, 
/* msg =   2912, deg =  6 */   3391,   4535,   5676,   6066,   6286,   6293, 
/* msg =   2913, deg =  6 */    609,    662,   2058,   3534,   4918,   6270, 
/* msg =   2914, deg =  6 */   1025,   2166,   3809,   4740,   5549,   5986, 
/* msg =   2915, deg =  6 */   1141,   2719,   2835,   4027,   5043,   5748, 
/* msg =   2916, deg =  6 */   1473,   2662,   2818,   4631,   6922,   7384, 
/* msg =   2917, deg =  6 */   1663,   3145,   4198,   4965,   6360,   7132, 
/* msg =   2918, deg =  6 */   3090,   4587,   4598,   6107,   7714,   7872, 
/* msg =   2919, deg =  6 */   3876,   3895,   5040,   6498,   6639,   7849, 
/* msg =   2920, deg =  6 */   1773,   1893,   3539,   4763,   7322,   7557, 
/* msg =   2921, deg =  6 */   2704,   3279,   3668,   4973,   6458,   6966, 
/* msg =   2922, deg =  6 */   3935,   4066,   5382,   6245,   6414,   7432, 
/* msg =   2923, deg =  6 */     21,    178,   3288,   5852,   7525,   7868, 
/* msg =   2924, deg =  6 */   1338,   2527,   3735,   4482,   5602,   7352, 
/* msg =   2925, deg =  6 */    288,   1996,   5389,   6562,   6846,   7106, 
/* msg =   2926, deg =  6 */   2785,   3422,   5178,   5549,   6802,   7137, 
/* msg =   2927, deg =  6 */    527,    576,   3472,   3490,   5775,   6462, 
/* msg =   2928, deg =  6 */   1125,   3539,   5342,   5698,   5875,   7654, 
/* msg =   2929, deg =  6 */    685,   3830,   4685,   4944,   6149,   6906, 
/* msg =   2930, deg =  6 */   1812,   2854,   4233,   4565,   6252,   7385, 
/* msg =   2931, deg =  6 */    572,    673,   3529,   5636,   5760,   6481, 
/* msg =   2932, deg =  6 */    813,   1153,   2006,   5594,   5952,   6162, 
/* msg =   2933, deg =  6 */   2051,   2329,   4844,   5415,   5724,   7152, 
/* msg =   2934, deg =  6 */     18,   3274,   5774,   6437,   6441,   7239, 
/* msg =   2935, deg =  6 */     15,    137,   2802,   3151,   3693,   6314, 
/* msg =   2936, deg =  6 */    487,   1392,   2243,   4450,   4775,   6170, 
/* msg =   2937, deg =  6 */    529,    559,   3160,   3745,   4040,   6731, 
/* msg =   2938, deg =  6 */    334,   1409,   1684,   5859,   6499,   7429, 
/* msg =   2939, deg =  6 */   1069,   3865,   4087,   6222,   6672,   7150, 
/* msg =   2940, deg =  6 */    731,    791,   1131,   3208,   5788,   7954, 
/* msg =   2941, deg =  6 */    578,   3530,   4481,   4905,   5123,   6069, 
/* msg =   2942, deg =  6 */    971,   1087,   1782,   1825,   3364,   6449, 
/* msg =   2943, deg =  6 */    101,    176,   2610,   4641,   6007,   6653, 
/* msg =   2944, deg =  6 */    278,    365,   1996,   2089,   6202,   7177, 
/* msg =   2945, deg =  6 */   1516,   2234,   3659,   4162,   5732,   7023, 
/* msg =   2946, deg =  6 */   1886,   2031,   2443,   3260,   3585,   4832, 
/* msg =   2947, deg =  6 */   2925,   4131,   5601,   5778,   7705,   7862, 
/* msg =   2948, deg =  6 */    434,   1646,   4938,   5008,   6369,   7913, 
/* msg =   2949, deg =  6 */    987,   1224,   3860,   5336,   5352,   7605, 
/* msg =   2950, deg =  6 */    388,    505,   4120,   4814,   5424,   6670, 
/* msg =   2951, deg =  6 */    130,    153,   2424,   3787,   6610,   6747, 
/* msg =   2952, deg =  6 */   1627,   4828,   4893,   5739,   6353,   7998, 
/* msg =   2953, deg =  6 */    267,   4228,   5343,   7136,   7729,   7999, 
/* msg =   2954, deg =  6 */   2632,   3011,   3077,   3682,   5635,   7807, 
/* msg =   2955, deg =  6 */   1283,   2235,   4294,   6378,   7253,   7991, 
/* msg =   2956, deg =  6 */   2559,   5582,   6254,   6342,   7231,   7411, 
/* msg =   2957, deg =  6 */    284,   2030,   2560,   4034,   5650,   7322, 
/* msg =   2958, deg =  6 */    484,    761,   3618,   4038,   6435,   7980, 
/* msg =   2959, deg =  6 */   1811,   1854,   2052,   2319,   6584,   7678, 
/* msg =   2960, deg =  6 */    393,   2069,   2629,   6233,   7083,   7734, 
/* msg =   2961, deg =  6 */    930,    937,   3267,   6204,   6467,   7490, 
/* msg =   2962, deg =  6 */   3024,   3327,   5003,   5856,   6239,   6624, 
/* msg =   2963, deg =  6 */    495,    828,   1146,   1631,   2945,   5622, 
/* msg =   2964, deg =  6 */   1446,   1533,   2241,   2623,   4637,   6479, 
/* msg =   2965, deg =  6 */    221,   2080,   2320,   2989,   5050,   5698, 
/* msg =   2966, deg =  6 */    582,   1294,   1878,   6982,   7256,   7628, 
/* msg =   2967, deg =  6 */   3033,   3349,   4491,   4984,   6875,   7526, 
/* msg =   2968, deg =  6 */   1227,   2431,   4091,   4144,   7266,   7460, 
/* msg =   2969, deg =  6 */   1097,   1420,   1735,   1974,   6647,   6775, 
/* msg =   2970, deg =  6 */   1396,   1916,   3180,   3623,   4828,   6657, 
/* msg =   2971, deg =  6 */   1145,   1892,   2951,   5413,   6394,   6887, 
/* msg =   2972, deg =  6 */   2244,   2751,   2949,   3657,   5057,   7152, 
/* msg =   2973, deg =  6 */    640,   1101,   2025,   4468,   5090,   6109, 
/* msg =   2974, deg =  6 */   2583,   3303,   3901,   5348,   5638,   6467, 
/* msg =   2975, deg =  6 */    414,    907,   1405,   4053,   4775,   4991, 
/* msg =   2976, deg =  6 */    797,   4574,   5222,   5350,   6282,   7146, 
/* msg =   2977, deg =  6 */     49,   1441,   1652,   2217,   2937,   6133, 
/* msg =   2978, deg =  6 */    203,    290,   1155,   1546,   2414,   3213, 
/* msg =   2979, deg =  6 */   3763,   5704,   6607,   6677,   7191,   7307, 
/* msg =   2980, deg =  6 */    901,   1377,   2217,   3546,   5593,   6666, 
/* msg =   2981, deg =  6 */    117,   1369,   2533,   3175,   5909,   7563, 
/* msg =   2982, deg =  6 */   1028,   2243,   2555,   4935,   7128,   7508, 
/* msg =   2983, deg =  6 */   1896,   3174,   4271,   4809,   6153,   6159, 
/* msg =   2984, deg =  6 */   1290,   2625,   3329,   3838,   6099,   7559, 
/* msg =   2985, deg =  6 */    659,   1662,   1738,   4786,   4924,   7646, 
/* msg =   2986, deg =  6 */    977,   3088,   4657,   5383,   6712,   7189, 
/* msg =   2987, deg =  6 */    755,    856,   2881,   4619,   6187,   6539, 
/* msg =   2988, deg =  6 */   2091,   2631,   4069,   4251,   4645,   6283, 
/* msg =   2989, deg =  6 */   1866,   2107,   2892,   3281,   4484,   4760, 
/* msg =   2990, deg =  6 */   1813,   2147,   2268,   4440,   4444,   5027, 
/* msg =   2991, deg =  6 */     15,   5950,   6102,   7228,   7929,   7971, 
/* msg =   2992, deg =  6 */     41,    998,   2751,   4232,   6249,   7973, 
/* msg =   2993, deg =  6 */    577,    889,   1488,   2423,   2480,   7431, 
/* msg =   2994, deg =  6 */    304,   1932,   2896,   3680,   7318,   7770, 
/* msg =   2995, deg =  6 */    472,   2581,   3448,   4812,   5172,   5410, 
/* msg =   2996, deg =  6 */   1452,   1665,   2298,   3439,   4465,   6624, 
/* msg =   2997, deg =  6 */   1606,   2310,   3597,   6321,   7081,   7140, 
/* msg =   2998, deg =  6 */   3251,   3996,   5926,   6131,   6678,   7898, 
/* msg =   2999, deg =  6 */    781,    874,   1643,   5169,   5684,   6573, 
/* msg =   3000, deg =  6 */    919,   1183,   1332,   3109,   3848,   7783, 
/* msg =   3001, deg =  6 */    240,   2753,   3106,   4864,   6215,   7425, 
/* msg =   3002, deg =  6 */   1718,   2205,   4466,   6407,   6921,   7241, 
/* msg =   3003, deg =  6 */     78,   1243,   1782,   3473,   4904,   7996, 
/* msg =   3004, deg =  6 */    514,    927,   2222,   2942,   5869,   6260, 
/* msg =   3005, deg =  6 */   1298,   2057,   2373,   4384,   4517,   4772, 
/* msg =   3006, deg =  6 */   1889,   1955,   2319,   3344,   4640,   7400, 
/* msg =   3007, deg =  6 */   2021,   3274,   3542,   4386,   5272,   5565, 
/* msg =   3008, deg =  6 */    908,   1682,   2377,   3777,   6373,   7615, 
/* msg =   3009, deg =  6 */    494,    831,   1604,   4147,   7032,   7389, 
/* msg =   3010, deg =  6 */   2567,   3726,   5981,   7023,   7461,   7712, 
/* msg =   3011, deg =  6 */    651,   2158,   2384,   2848,   3660,   7125, 
/* msg =   3012, deg =  6 */   2267,   2773,   2857,   3677,   5649,   7740, 
/* msg =   3013, deg =  6 */    496,   1474,   3190,   5232,   5262,   7877, 
/* msg =   3014, deg =  6 */   1063,   1711,   4041,   4052,   6288,   7554, 
/* msg =   3015, deg =  6 */    717,   2947,   3150,   5389,   5915,   7948, 
/* msg =   3016, deg =  6 */   1289,   1382,   1529,   5141,   5480,   5579, 
/* msg =   3017, deg =  6 */   1947,   2112,   3280,   3375,   7934,   7952, 
/* msg =   3018, deg =  6 */   1036,   1300,   1416,   2760,   3690,   6217, 
/* msg =   3019, deg =  6 */    724,   2654,   3044,   3911,   5198,   6174, 
/* msg =   3020, deg =  6 */    232,    244,   2063,   5448,   6523,   6924, 
/* msg =   3021, deg =  6 */    429,   1072,   1128,   3517,   3691,   6208, 
/* msg =   3022, deg =  6 */   3323,   3958,   5903,   6072,   6298,   7903, 
/* msg =   3023, deg =  6 */   4378,   5905,   6213,   6994,   7274,   7773, 
/* msg =   3024, deg =  6 */   1645,   3396,   4269,   4282,   5899,   6659, 
/* msg =   3025, deg =  6 */   1351,   1458,   1902,   3992,   5047,   5313, 
/* msg =   3026, deg =  6 */    188,    398,    811,   1178,   6043,   6279, 
/* msg =   3027, deg =  6 */   1618,   3977,   4587,   6259,   7128,   7507, 
/* msg =   3028, deg =  6 */    628,   1587,   1720,   3969,   7378,   7642, 
/* msg =   3029, deg =  6 */   1086,   2986,   3650,   5556,   6543,   7882, 
/* msg =   3030, deg =  6 */   2053,   2459,   3242,   4192,   6608,   7244, 
/* msg =   3031, deg =  6 */   1556,   2760,   3714,   3806,   4004,   6070, 
/* msg =   3032, deg =  6 */    153,    994,   2602,   5814,   6255,   7232, 
/* msg =   3033, deg =  6 */    731,   1990,   2328,   5942,   6710,   7991, 
/* msg =   3034, deg =  6 */     14,   2040,   2292,   4939,   4951,   7562, 
/* msg =   3035, deg =  6 */   1926,   3192,   3535,   5702,   5976,   6910, 
/* msg =   3036, deg =  6 */   2314,   2535,   2558,   3785,   4490,   6073, 
/* msg =   3037, deg =  6 */   2434,   5480,   5634,   6067,   6901,   7921, 
/* msg =   3038, deg =  6 */    407,    637,   2116,   2496,   2926,   6630, 
/* msg =   3039, deg =  6 */   1917,   4367,   4594,   5276,   5940,   7150, 
/* msg =   3040, deg =  6 */   2446,   3643,   3989,   4783,   5207,   5635, 
/* msg =   3041, deg =  6 */    392,   1042,   1127,   1480,   5071,   7767, 
/* msg =   3042, deg =  6 */   1236,   2538,   3439,   4051,   5669,   7525, 
/* msg =   3043, deg =  6 */    285,    716,   1426,   3706,   7076,   7970, 
/* msg =   3044, deg =  6 */     59,    821,   1264,   1501,   3939,   4899, 
/* msg =   3045, deg =  6 */    262,   1861,   2741,   4448,   5278,   7222, 
/* msg =   3046, deg =  6 */   1167,   2238,   3217,   4048,   4618,   4908, 
/* msg =   3047, deg =  6 */    984,   1270,   2841,   5450,   6216,   7741, 
/* msg =   3048, deg =  6 */    871,    895,   1381,   2141,   5541,   5820, 
/* msg =   3049, deg =  6 */    100,    622,    915,   1804,   3804,   6150, 
/* msg =   3050, deg =  6 */   2070,   3362,   3910,   4492,   6395,   7397, 
/* msg =   3051, deg =  6 */    172,   2136,   2739,   3584,   3709,   7517, 
/* msg =   3052, deg =  6 */    132,   2028,   2110,   4637,   5204,   5393, 
/* msg =   3053, deg =  6 */    570,    884,   1462,   4046,   7036,   7688, 
/* msg =   3054, deg =  6 */    168,   2658,   2927,   4922,   5490,   6521, 
/* msg =   3055, deg =  6 */   2098,   2932,   3112,   4089,   4261,   7963, 
/* msg =   3056, deg =  6 */    878,   3189,   5539,   6091,   6152,   7420, 
/* msg =   3057, deg =  6 */    713,   1738,   1816,   2258,   4981,   6456, 
/* msg =   3058, deg =  6 */     80,   1185,   1717,   3100,   3752,   7265, 
/* msg =   3059, deg =  6 */   2163,   3193,   3237,   3972,   6213,   6824, 
/* msg =   3060, deg =  6 */   4604,   5028,   5032,   5724,   6482,   7671, 
/* msg =   3061, deg =  6 */   1360,   3275,   3323,   4506,   4898,   7908, 
/* msg =   3062, deg =  6 */    593,    951,   3159,   3678,   4848,   5241, 
/* msg =   3063, deg =  6 */    696,    711,   2948,   2998,   5147,   7553, 
/* msg =   3064, deg =  6 */   2832,   3217,   3402,   5000,   5956,   7239, 
/* msg =   3065, deg =  6 */   1350,   5538,   5695,   6554,   7259,   7930, 
/* msg =   3066, deg =  6 */    898,   4833,   5562,   6892,   7100,   7391, 
/* msg =   3067, deg =  6 */   2671,   3820,   3964,   4145,   6466,   6834, 
/* msg =   3068, deg =  6 */   1443,   3715,   5101,   6095,   6949,   7243, 
/* msg =   3069, deg =  6 */     24,   1755,   4392,   6368,   7224,   7270, 
/* msg =   3070, deg =  6 */    115,   1120,   2460,   4649,   5652,   7922, 
/* msg =   3071, deg =  6 */    478,   1554,   2581,   5365,   5372,   6798, 
/* msg =   3072, deg =  6 */   1374,   2046,   2059,   2180,   2713,   5620, 
/* msg =   3073, deg =  6 */      8,   1172,   2478,   3072,   4477,   6627, 
/* msg =   3074, deg =  6 */   1708,   2458,   3972,   4105,   5162,   7303, 
/* msg =   3075, deg =  6 */    194,   2374,   5066,   5445,   5575,   6580, 
/* msg =   3076, deg =  6 */   1338,   2755,   2886,   3932,   4162,   4500, 
/* msg =   3077, deg =  6 */     45,    916,   1641,   4483,   4497,   6734, 
/* msg =   3078, deg =  6 */    219,    834,   2573,   4448,   4507,   6957, 
/* msg =   3079, deg =  6 */    271,   1581,   3093,   4211,   6500,   7618, 
/* msg =   3080, deg =  6 */   1106,   1958,   2844,   3273,   4653,   6076, 
/* msg =   3081, deg =  6 */   2351,   2940,   4776,   6050,   6201,   7923, 
/* msg =   3082, deg =  6 */   3200,   3719,   4327,   5397,   7120,   7534, 
/* msg =   3083, deg =  6 */    174,   2212,   4050,   4121,   5782,   6047, 
/* msg =   3084, deg =  6 */   3010,   4675,   4899,   5393,   6640,   6724, 
/* msg =   3085, deg =  6 */    697,   1302,   2693,   4036,   5656,   7162, 
/* msg =   3086, deg =  6 */    956,   1537,   3015,   6973,   7173,   7884, 
/* msg =   3087, deg =  6 */    337,    797,   1512,   3374,   6202,   7102, 
/* msg =   3088, deg =  6 */    323,    892,   1150,   2766,   3456,   7563, 
/* msg =   3089, deg =  6 */   2163,   2653,   3363,   3628,   5603,   7534, 
/* msg =   3090, deg =  6 */   2315,   4990,   5361,   6104,   6152,   7020, 
/* msg =   3091, deg =  6 */    140,   2571,   2791,   4154,   6065,   7146, 
/* msg =   3092, deg =  6 */    342,    464,   1337,   2796,   4242,   6950, 
/* msg =   3093, deg =  6 */   1504,   2729,   3682,   5085,   5288,   7793, 
/* msg =   3094, deg =  6 */   1487,   2568,   2820,   3619,   5448,   6599, 
/* msg =   3095, deg =  6 */    599,    802,   4895,   5319,   5752,   6361, 
/* msg =   3096, deg =  6 */   1220,   2884,   3692,   5381,   5684,   7679, 
/* msg =   3097, deg =  6 */    271,   1665,   4494,   6034,   6383,   6742, 
/* msg =   3098, deg =  6 */    725,   1059,   2334,   3329,   5126,   6980, 
/* msg =   3099, deg =  6 */   1652,   2465,   2596,   3188,   3558,   6191, 
/* msg =   3100, deg =  6 */    147,   1990,   3061,   3344,   4452,   6200, 
/* msg =   3101, deg =  6 */   1977,   3245,   4389,   5068,   6011,   7311, 
/* msg =   3102, deg =  6 */   1666,   2405,   2923,   3351,   3507,   5116, 
/* msg =   3103, deg =  6 */    490,   1921,   2401,   5917,   6108,   7395, 
/* msg =   3104, deg =  6 */     36,   1156,   1285,   1627,   1723,   1839, 
/* msg =   3105, deg =  6 */    730,   3038,   4369,   4561,   5660,   7475, 
/* msg =   3106, deg =  6 */    918,   2917,   3084,   4272,   6497,   6603, 
/* msg =   3107, deg =  6 */      3,   1826,   3951,   4186,   7523,   7973, 
/* msg =   3108, deg =  6 */   1140,   3431,   3645,   4870,   6620,   7141, 
/* msg =   3109, deg =  6 */   1873,   5631,   6115,   7605,   7788,   7975, 
/* msg =   3110, deg =  6 */    692,   1759,   2724,   4632,   6784,   7225, 
/* msg =   3111, deg =  6 */    468,    744,   2061,   7415,   7419,   7547, 
/* msg =   3112, deg =  6 */    359,   1196,   3429,   4101,   4182,   7887, 
/* msg =   3113, deg =  6 */    763,   1222,   2584,   3102,   4001,   4495, 
/* msg =   3114, deg =  6 */   1936,   2011,   2782,   3436,   4183,   7018, 
/* msg =   3115, deg =  6 */   2271,   3653,   5261,   5333,   6146,   6422, 
/* msg =   3116, deg =  6 */    144,   1071,   1500,   1574,   5443,   7007, 
/* msg =   3117, deg =  6 */    656,   1469,   2385,   3228,   3944,   3961, 
/* msg =   3118, deg =  6 */   1239,   2064,   3815,   3819,   5299,   6893, 
/* msg =   3119, deg =  6 */   3478,   4140,   4273,   5176,   5498,   5587, 
/* msg =   3120, deg =  6 */     71,   3039,   3459,   3956,   4389,   4420, 
/* msg =   3121, deg =  6 */    732,   1737,   3134,   3929,   4936,   5471, 
/* msg =   3122, deg =  6 */    639,   1900,   3414,   4178,   6185,   7995, 
/* msg =   3123, deg =  6 */    559,   2135,   4781,   4973,   5968,   6445, 
/* msg =   3124, deg =  6 */   2699,   3728,   4030,   4674,   4988,   5371, 
/* msg =   3125, deg =  6 */    498,   1519,   1847,   5608,   6720,   7446, 
/* msg =   3126, deg =  6 */   1016,   1270,   1743,   2378,   4997,   7711, 
/* msg =   3127, deg =  6 */   1264,   1833,   2102,   3890,   7301,   7870, 
/* msg =   3128, deg =  6 */   4522,   4654,   6202,   6311,   6973,   7403, 
/* msg =   3129, deg =  6 */   2167,   2230,   2905,   4148,   4168,   4417, 
/* msg =   3130, deg =  6 */   2693,   3046,   3543,   3897,   4144,   6895, 
/* msg =   3131, deg =  6 */   1391,   1793,   4025,   5671,   6298,   7680, 
/* msg =   3132, deg =  6 */    876,   1566,   1963,   2211,   3004,   3446, 
/* msg =   3133, deg =  6 */   2326,   3489,   6021,   7129,   7135,   7466, 
/* msg =   3134, deg =  6 */    373,   2936,   5129,   5501,   5602,   6558, 
/* msg =   3135, deg =  6 */    101,    745,   4015,   5923,   7388,   7920, 
/* msg =   3136, deg =  6 */    150,    220,    624,   1065,   2219,   6085, 
/* msg =   3137, deg =  6 */    838,   4289,   4379,   4666,   5904,   6855, 
/* msg =   3138, deg =  6 */   1511,   2018,   4629,   5207,   5986,   6376, 
/* msg =   3139, deg =  6 */    426,   1491,   3436,   6590,   6695,   7521, 
/* msg =   3140, deg =  6 */    503,   2135,   2231,   4466,   6741,   7952, 
/* msg =   3141, deg =  6 */   1673,   1682,   1781,   1925,   5407,   6653, 
/* msg =   3142, deg =  6 */    165,    343,    472,   1358,   2804,   7631, 
/* msg =   3143, deg =  6 */   2383,   4804,   5076,   5774,   7024,   7683, 
/* msg =   3144, deg =  6 */    676,   2797,   3469,   3943,   5794,   7444, 
/* msg =   3145, deg =  6 */    428,   1076,   2304,   2726,   5713,   7954, 
/* msg =   3146, deg =  6 */   2433,   2778,   3606,   6083,   7004,   7591, 
/* msg =   3147, deg =  6 */   2023,   4753,   5897,   6429,   6656,   6794, 
/* msg =   3148, deg =  6 */    235,    530,   1988,   2556,   3277,   5481, 
/* msg =   3149, deg =  6 */   4100,   4140,   4532,   5475,   5618,   7153, 
/* msg =   3150, deg =  6 */    294,    776,   1562,   5248,   6190,   7988, 
/* msg =   3151, deg =  6 */    193,   1479,   1876,   3158,   4023,   7338, 
/* msg =   3152, deg =  6 */     13,   2169,   2178,   3183,   4025,   6130, 
/* msg =   3153, deg =  6 */    229,   3630,   4365,   6938,   7017,   7578, 
/* msg =   3154, deg =  6 */    253,   1808,   2264,   3468,   4950,   6019, 
/* msg =   3155, deg =  6 */    297,   1212,   2231,   3317,   4139,   5002, 
/* msg =   3156, deg =  6 */    979,   1805,   3589,   4948,   5759,   7741, 
/* msg =   3157, deg =  6 */     64,    207,   3292,   7123,   7283,   7381, 
/* msg =   3158, deg =  6 */    856,   3018,   3123,   7500,   7537,   7836, 
/* msg =   3159, deg =  6 */    756,   2070,   4064,   4949,   5504,   6516, 
/* msg =   3160, deg =  6 */    612,   1242,   1545,   1848,   5734,   6030, 
/* msg =   3161, deg =  6 */    442,   3882,   4579,   6516,   6993,   7252, 
/* msg =   3162, deg =  6 */   2465,   4913,   5096,   5530,   6583,   7298, 
/* msg =   3163, deg =  6 */   1725,   3547,   4128,   7242,   7922,   7935, 
/* msg =   3164, deg =  6 */   3187,   3256,   4021,   5391,   5604,   5615, 
/* msg =   3165, deg =  6 */   1412,   2422,   3800,   4188,   6151,   6529, 
/* msg =   3166, deg =  6 */   1282,   2483,   2574,   2660,   6995,   7970, 
/* msg =   3167, deg =  6 */   1792,   3076,   4139,   4388,   4431,   7939, 
/* msg =   3168, deg =  6 */     94,   2365,   3552,   4038,   5193,   6802, 
/* msg =   3169, deg =  6 */   1099,   1537,   3590,   4511,   6032,   7079, 
/* msg =   3170, deg =  6 */   1661,   3352,   3796,   5156,   5194,   6168, 
/* msg =   3171, deg =  6 */   2429,   4012,   5646,   6330,   6814,   7643, 
/* msg =   3172, deg =  6 */   3351,   4406,   5402,   5837,   6343,   6928, 
/* msg =   3173, deg =  6 */     86,    621,   1278,   1640,   3183,   5035, 
/* msg =   3174, deg =  6 */    316,   2280,   2576,   3810,   6238,   7708, 
/* msg =   3175, deg =  6 */   1200,   1417,   2617,   2914,   6572,   6764, 
/* msg =   3176, deg =  6 */    123,    966,   1364,   1460,   3466,   5385, 
/* msg =   3177, deg =  6 */   1411,   3089,   3976,   4394,   4427,   6473, 
/* msg =   3178, deg =  6 */    643,   1585,   4095,   5870,   6739,   7048, 
/* msg =   3179, deg =  6 */   1079,   2118,   3866,   4911,   6452,   7849, 
/* msg =   3180, deg =  6 */    516,    949,   1157,   1266,   5658,   7936, 
/* msg =   3181, deg =  6 */   2316,   2380,   4193,   4955,   4960,   7878, 
/* msg =   3182, deg =  6 */   1599,   2199,   2248,   3574,   5462,   5674, 
/* msg =   3183, deg =  6 */    255,   1664,   1813,   6820,   7082,   7366, 
/* msg =   3184, deg =  6 */    919,   1314,   3041,   5668,   5673,   5740, 
/* msg =   3185, deg =  6 */    960,   2152,   4476,   5570,   6140,   6985, 
/* msg =   3186, deg =  6 */   1835,   4677,   5547,   6611,   6828,   7797, 
/* msg =   3187, deg =  6 */    461,    929,   2360,   4550,   4819,   5419, 
/* msg =   3188, deg =  6 */    380,    612,   1683,   1915,   3659,   4969, 
/* msg =   3189, deg =  6 */    793,   2860,   3268,   3581,   5703,   6898, 
/* msg =   3190, deg =  6 */    111,   2303,   5754,   6321,   6569,   7404, 
/* msg =   3191, deg =  6 */    603,   2080,   4088,   6135,   6443,   6916, 
/* msg =   3192, deg =  6 */   3400,   4078,   4271,   5403,   6607,   6974, 
/* msg =   3193, deg =  6 */   3059,   3064,   4049,   4573,   5841,   6327, 
/* msg =   3194, deg =  6 */   3196,   3700,   5961,   6447,   7494,   7949, 
/* msg =   3195, deg =  6 */   2013,   3978,   4252,   5723,   5947,   6513, 
/* msg =   3196, deg =  6 */    918,    967,   5208,   5583,   6635,   7863, 
/* msg =   3197, deg =  6 */   3815,   3971,   4194,   5742,   6576,   6848, 
/* msg =   3198, deg =  6 */    157,    870,   1006,   1377,   5824,   6013, 
/* msg =   3199, deg =  6 */   1439,   1711,   1789,   1971,   2086,   2269, 
/* msg =   3200, deg =  6 */    717,   1070,   1547,   1702,   2168,   5046, 
/* msg =   3201, deg =  6 */    583,   2877,   5245,   5249,   5495,   7857, 
/* msg =   3202, deg =  6 */    260,   1981,   2538,   6411,   6867,   7536, 
/* msg =   3203, deg =  6 */     88,    266,   2964,   3545,   5186,   6427, 
/* msg =   3204, deg =  6 */    212,    828,   1254,   1985,   3822,   4768, 
/* msg =   3205, deg =  6 */    737,   3146,   4898,   4984,   6991,   7325, 
/* msg =   3206, deg =  6 */     31,   1376,   1637,   5292,   7131,   7561, 
/* msg =   3207, deg =  6 */     73,   2234,   2561,   3987,   4460,   6903, 
/* msg =   3208, deg =  6 */     43,    650,   3619,   4382,   7377,   7414, 
/* msg =   3209, deg =  6 */   3598,   4160,   4818,   5301,   6793,   7551, 
/* msg =   3210, deg =  6 */    223,   1649,   2170,   2873,   4321,   7319, 
/* msg =   3211, deg =  6 */    675,    749,   1281,   2371,   2769,   5332, 
/* msg =   3212, deg =  6 */     93,   1576,   4302,   6520,   7535,   7727, 
/* msg =   3213, deg =  6 */    372,   1249,   4108,   4667,   4802,   7862, 
/* msg =   3214, deg =  6 */   2082,   2365,   5197,   5305,   7365,   7833, 
/* msg =   3215, deg =  6 */   1217,   3643,   6666,   6812,   6836,   7998, 
/* msg =   3216, deg =  6 */   1268,   1275,   2627,   5288,   5902,   6149, 
/* msg =   3217, deg =  6 */    671,    738,   1209,   2126,   4170,   7881, 
/* msg =   3218, deg =  6 */    143,   1271,   2572,   3537,   6925,   7768, 
/* msg =   3219, deg =  6 */   2925,   3389,   3969,   5576,   5735,   6941, 
/* msg =   3220, deg =  6 */   2595,   2743,   2959,   4347,   4779,   6027, 
/* msg =   3221, deg =  6 */     12,     77,   3173,   5692,   5910,   7855, 
/* msg =   3222, deg =  6 */   1399,   1422,   3015,   3425,   6380,   7887, 
/* msg =   3223, deg =  6 */    914,   2358,   2836,   3070,   6023,   6529, 
/* msg =   3224, deg =  6 */    981,   1824,   3693,   7351,   7704,   7714, 
/* msg =   3225, deg =  6 */   1409,   2149,   2737,   3668,   4018,   5358, 
/* msg =   3226, deg =  6 */    951,   1639,   1794,   4181,   6874,   7014, 
/* msg =   3227, deg =  6 */   1273,   2484,   4405,   6801,   7864,   7872, 
/* msg =   3228, deg =  6 */   1026,   1358,   3453,   4205,   5340,   5459, 
/* msg =   3229, deg =  6 */   1201,   1791,   1937,   5399,   7616,   7919, 
/* msg =   3230, deg =  6 */   1667,   2013,   3393,   4525,   7209,   7726, 
/* msg =   3231, deg =  6 */     16,     70,   1865,   2125,   3753,   5701, 
/* msg =   3232, deg =  6 */   1807,   4310,   5943,   7062,   7445,   7795, 
/* msg =   3233, deg =  6 */   1435,   1645,   4197,   5163,   5989,   7753, 
/* msg =   3234, deg =  6 */     48,   1825,   3941,   4405,   5025,   5623, 
/* msg =   3235, deg =  6 */   1204,   1878,   2157,   3795,   6531,   7710, 
/* msg =   3236, deg =  6 */   1855,   2027,   2550,   3741,   5504,   6139, 
/* msg =   3237, deg =  6 */   6316,   6506,   6567,   7577,   7613,   7915, 
/* msg =   3238, deg =  6 */   1588,   2534,   4600,   4706,   5644,   6626, 
/* msg =   3239, deg =  6 */   2636,   2871,   4181,   4601,   5495,   6921, 
/* msg =   3240, deg =  6 */    361,   3425,   3760,   4058,   4529,   6625, 
/* msg =   3241, deg =  6 */     20,   1195,   3880,   4113,   4329,   6145, 
/* msg =   3242, deg =  6 */   1058,   3164,   4673,   5440,   6555,   7359, 
/* msg =   3243, deg =  6 */   1986,   2161,   2603,   2783,   3488,   6532, 
/* msg =   3244, deg =  6 */   1683,   2856,   3662,   4704,   4835,   5212, 
/* msg =   3245, deg =  6 */    589,    833,   2156,   4193,   5520,   6349, 
/* msg =   3246, deg =  6 */   2055,   2881,   3814,   6064,   6882,   7572, 
/* msg =   3247, deg =  6 */   2391,   3524,   4420,   5304,   6318,   7230, 
/* msg =   3248, deg =  6 */   2027,   3232,   4371,   5461,   7294,   7540, 
/* msg =   3249, deg =  6 */    432,    638,   2563,   3241,   7362,   7599, 
/* msg =   3250, deg =  6 */     44,    930,   1289,   3280,   4411,   6360, 
/* msg =   3251, deg =  6 */    880,   1161,   1474,   6261,   6379,   7391, 
/* msg =   3252, deg =  6 */   1554,   2341,   5083,   7188,   7601,   7837, 
/* msg =   3253, deg =  6 */   1188,   2845,   4503,   6927,   6977,   7234, 
/* msg =   3254, deg =  6 */   2330,   2893,   3299,   5766,   6018,   6663, 
/* msg =   3255, deg =  6 */   1929,   3124,   3878,   4558,   5523,   6848, 
/* msg =   3256, deg =  6 */   1698,   3192,   3954,   5466,   5964,   6667, 
/* msg =   3257, deg =  6 */   1633,   2090,   2485,   2507,   4008,   7593, 
/* msg =   3258, deg =  6 */   2700,   2997,   5772,   5777,   6012,   7638, 
/* msg =   3259, deg =  6 */    733,   1317,   4637,   5063,   5242,   6696, 
/* msg =   3260, deg =  6 */   2066,   2165,   4306,   6083,   6374,   7822, 
/* msg =   3261, deg =  6 */    199,    670,   1273,   2498,   4766,   4999, 
/* msg =   3262, deg =  6 */   1466,   2976,   4802,   5301,   6751,   7272, 
/* msg =   3263, deg =  6 */   2691,   3364,   3388,   4166,   4600,   6777, 
/* msg =   3264, deg =  6 */   2453,   2806,   4934,   5230,   6340,   6818, 
/* msg =   3265, deg =  6 */    365,    929,   3572,   3712,   6484,   7184, 
/* msg =   3266, deg =  6 */    896,   4891,   5575,   6099,   6881,   7658, 
/* msg =   3267, deg =  6 */    582,   1904,   5018,   5211,   6081,   6192, 
/* msg =   3268, deg =  6 */    974,   1650,   4254,   5362,   6639,   7364, 
/* msg =   3269, deg =  6 */   1886,   2278,   2635,   4152,   6634,   6873, 
/* msg =   3270, deg =  6 */    589,   1672,   4035,   5465,   6474,   6535, 
/* msg =   3271, deg =  6 */   1258,   1346,   2744,   2752,   3738,   4682, 
/* msg =   3272, deg =  6 */   2443,   2740,   2967,   3836,   5968,   6579, 
/* msg =   3273, deg =  6 */   2193,   2494,   2671,   3350,   5408,   6444, 
/* msg =   3274, deg =  6 */    452,   3687,   3861,   4430,   5057,   6790, 
/* msg =   3275, deg =  6 */    895,   1569,   2830,   5998,   6195,   7285, 
/* msg =   3276, deg =  6 */    129,    958,   3576,   4964,   6677,   6714, 
/* msg =   3277, deg =  6 */    227,    794,   1432,   3524,   3687,   5036, 
/* msg =   3278, deg =  6 */    128,   1276,   3225,   4798,   5231,   6577, 
/* msg =   3279, deg =  6 */     44,    266,   2809,   3632,   5627,   7014, 
/* msg =   3280, deg =  6 */    355,    383,   1385,   3239,   4366,   7381, 
/* msg =   3281, deg =  6 */    138,    424,    725,    972,   3032,   3302, 
/* msg =   3282, deg =  6 */   2095,   2655,   3129,   5737,   6420,   6425, 
/* msg =   3283, deg =  6 */    922,   1293,   2968,   3129,   5893,   6211, 
/* msg =   3284, deg =  6 */   1204,   1489,   2550,   3002,   5487,   7205, 
/* msg =   3285, deg =  6 */   1826,   2449,   4338,   5280,   5585,   6184, 
/* msg =   3286, deg =  6 */   4290,   4442,   5866,   7348,   7502,   7891, 
/* msg =   3287, deg =  6 */   1881,   2160,   5293,   5516,   7342,   7440, 
/* msg =   3288, deg =  6 */    853,   1145,   1832,   3255,   3621,   4793, 
/* msg =   3289, deg =  6 */    847,   5117,   5616,   6060,   6850,   6866, 
/* msg =   3290, deg =  6 */   1270,   1901,   2259,   2794,   3092,   5448, 
/* msg =   3291, deg =  6 */   1644,   1874,   2996,   4301,   5404,   7445, 
/* msg =   3292, deg =  6 */   2400,   2687,   2949,   3568,   4667,   7163, 
/* msg =   3293, deg =  6 */   1072,   2511,   5025,   5390,   6319,   6744, 
/* msg =   3294, deg =  6 */   3129,   3301,   3618,   5904,   5957,   7582, 
/* msg =   3295, deg =  6 */    439,   2336,   4386,   6225,   6286,   6972, 
/* msg =   3296, deg =  6 */   2919,   4302,   5569,   6377,   7186,   7707, 
/* msg =   3297, deg =  6 */    129,    548,   2528,   4597,   4610,   5515, 
/* msg =   3298, deg =  6 */     30,    216,    319,    800,   5681,   6061, 
/* msg =   3299, deg =  6 */    698,    863,   4539,   4696,   6338,   6504, 
/* msg =   3300, deg =  6 */    171,    764,   1277,   2901,   5946,   7124, 
/* msg =   3301, deg =  6 */   3674,   4830,   4921,   6142,   7906,   7966, 
/* msg =   3302, deg =  6 */   2676,   3100,   4978,   7360,   7843,   7916, 
/* msg =   3303, deg =  6 */     89,    325,   3609,   4619,   5185,   5683, 
/* msg =   3304, deg =  6 */    600,    635,   2464,   3891,   4031,   5830, 
/* msg =   3305, deg =  6 */    347,   2789,   4604,   6008,   7198,   7619, 
/* msg =   3306, deg =  6 */   1610,   2155,   5075,   5272,   5697,   6826, 
/* msg =   3307, deg =  6 */   1045,   2835,   4842,   5794,   5939,   7302, 
/* msg =   3308, deg =  6 */     44,    995,   1394,   3592,   4214,   5877, 
/* msg =   3309, deg =  6 */   2876,   4441,   4520,   5070,   5668,   7419, 
/* msg =   3310, deg =  6 */   1347,   3040,   3936,   4222,   6924,   7214, 
/* msg =   3311, deg =  6 */   3189,   3924,   4375,   4801,   6282,   6866, 
/* msg =   3312, deg =  6 */   3376,   4573,   5859,   6719,   7071,   7638, 
/* msg =   3313, deg =  6 */      9,    444,    782,   4138,   5269,   7514, 
/* msg =   3314, deg =  6 */   1117,   3521,   3778,   4516,   7429,   7583, 
/* msg =   3315, deg =  6 */    320,   4662,   5432,   5550,   5709,   6263, 
/* msg =   3316, deg =  6 */    156,    455,    878,   1731,   3119,   5022, 
/* msg =   3317, deg =  6 */    209,    849,   1911,   2084,   5325,   6782, 
/* msg =   3318, deg =  6 */   1040,   1178,   2611,   2791,   4644,   5254, 
/* msg =   3319, deg =  6 */    225,   1138,   1176,   4694,   6751,   7123, 
/* msg =   3320, deg =  6 */   2575,   2974,   3556,   4460,   4688,   5518, 
/* msg =   3321, deg =  6 */    135,   1546,   1722,   2506,   4728,   6815, 
/* msg =   3322, deg =  6 */   1760,   3310,   3873,   5506,   5578,   5963, 
/* msg =   3323, deg =  6 */    299,   2924,   3716,   4078,   4314,   7430, 
/* msg =   3324, deg =  6 */   1049,   4228,   5804,   6024,   7166,   7216, 
/* msg =   3325, deg =  6 */    417,   1395,   3720,   5424,   5602,   5715, 
/* msg =   3326, deg =  6 */   1908,   3240,   4519,   5179,   7112,   7645, 
/* msg =   3327, deg =  6 */   2655,   4966,   5292,   6631,   6805,   7828, 
/* msg =   3328, deg =  6 */    771,   1613,   4377,   4552,   5590,   7777, 
/* msg =   3329, deg =  6 */   1353,   1692,   2961,   3091,   6049,   6884, 
/* msg =   3330, deg =  6 */    309,   1400,   3762,   3872,   6490,   7949, 
/* msg =   3331, deg =  6 */   2777,   2920,   3414,   4238,   5416,   7432, 
/* msg =   3332, deg =  6 */   4014,   4358,   4465,   5992,   6512,   7034, 
/* msg =   3333, deg =  6 */    543,    642,   2078,   2530,   5167,   7731, 
/* msg =   3334, deg =  6 */    508,   1785,   2304,   3517,   3922,   4682, 
/* msg =   3335, deg =  6 */    682,   1003,   2320,   3289,   6040,   6131, 
/* msg =   3336, deg =  6 */   2402,   2748,   3244,   4348,   5103,   7442, 
/* msg =   3337, deg =  6 */    702,   1038,   1712,   4658,   4733,   4959, 
/* msg =   3338, deg =  6 */   2341,   2342,   2697,   3361,   7021,   7863, 
/* msg =   3339, deg =  6 */   1004,   2496,   4560,   5630,   5855,   6497, 
/* msg =   3340, deg =  6 */    148,   2875,   3031,   3409,   6169,   6304, 
/* msg =   3341, deg =  6 */   1431,   2127,   5345,   6201,   6855,   7363, 
/* msg =   3342, deg =  6 */   1339,   1625,   4076,   4619,   6929,   7668, 
/* msg =   3343, deg =  6 */     12,   1707,   3981,   4956,   6941,   7372, 
/* msg =   3344, deg =  6 */     17,    222,   1753,   3938,   4129,   7488, 
/* msg =   3345, deg =  6 */   2715,   3741,   5348,   5573,   5997,   6044, 
/* msg =   3346, deg =  6 */    477,   2566,   5294,   5314,   6078,   6564, 
/* msg =   3347, deg =  6 */   1339,   4866,   5532,   6003,   6051,   7671, 
/* msg =   3348, deg =  6 */    265,    305,   2607,   2831,   4123,   6169, 
/* msg =   3349, deg =  6 */    134,    436,   4757,   4992,   5859,   6385, 
/* msg =   3350, deg =  6 */     36,   1251,   2151,   3996,   5827,   6376, 
/* msg =   3351, deg =  6 */    154,   1200,   1425,   4805,   6864,   7273, 
/* msg =   3352, deg =  6 */    296,   2770,   3185,   4080,   5654,   5771, 
/* msg =   3353, deg =  6 */    685,   1095,   2441,   5235,   7572,   7608, 
/* msg =   3354, deg =  6 */   1014,   5838,   5847,   6280,   7097,   7156, 
/* msg =   3355, deg =  6 */      0,    228,   2768,   3017,   3441,   7881, 
/* msg =   3356, deg =  6 */    223,   1689,   3997,   4649,   6821,   6833, 
/* msg =   3357, deg =  6 */    644,   1655,   1928,   2706,   3947,   4504, 
/* msg =   3358, deg =  6 */    601,   3382,   4201,   5706,   6726,   7555, 
/* msg =   3359, deg =  6 */   1315,   2420,   5006,   5426,   5598,   6855, 
/* msg =   3360, deg =  6 */    280,    655,   1697,   3492,   3838,   7388, 
/* msg =   3361, deg =  6 */   1468,   1537,   1788,   3678,   4634,   6472, 
/* msg =   3362, deg =  6 */   1863,   3400,   4728,   5078,   5349,   7892, 
/* msg =   3363, deg =  6 */    122,   1051,   3390,   3955,   5409,   7535, 
/* msg =   3364, deg =  6 */   1224,   3051,   3606,   4330,   4528,   6297, 
/* msg =   3365, deg =  6 */   1029,   2335,   2752,   4939,   6638,   7264, 
/* msg =   3366, deg =  6 */    778,   1234,   1568,   6069,   6940,   7089, 
/* msg =   3367, deg =  6 */    884,   1611,   2219,   3583,   5977,   6519, 
/* msg =   3368, deg =  6 */   2381,   3161,   5050,   7020,   7360,   7763, 
/* msg =   3369, deg =  6 */    128,   3967,   5066,   5871,   6571,   6833, 
/* msg =   3370, deg =  6 */   2363,   2682,   3711,   4501,   7417,   7739, 
/* msg =   3371, deg =  6 */   1494,   3660,   4438,   5623,   7327,   7902, 
/* msg =   3372, deg =  6 */   1617,   2049,   2177,   4703,   5595,   6539, 
/* msg =   3373, deg =  6 */    500,   1388,   2812,   3036,   5784,   6934, 
/* msg =   3374, deg =  6 */   1539,   1883,   2898,   3579,   6069,   6500, 
/* msg =   3375, deg =  6 */     40,   1877,   2971,   3663,   4972,   5974, 
/* msg =   3376, deg =  6 */   1523,   2218,   2716,   3234,   5411,   7582, 
/* msg =   3377, deg =  6 */    912,    943,   5926,   6162,   6956,   7081, 
/* msg =   3378, deg =  6 */   1317,   4098,   4795,   5885,   6033,   7578, 
/* msg =   3379, deg =  6 */    182,   1032,   4581,   5597,   5908,   7983, 
/* msg =   3380, deg =  6 */    184,    630,   1116,   1717,   5378,   6022, 
/* msg =   3381, deg =  6 */   1825,   2791,   4166,   5214,   6353,   7720, 
/* msg =   3382, deg =  6 */   1263,   2578,   3046,   4633,   5632,   7300, 
/* msg =   3383, deg =  6 */    207,   2717,   4039,   4745,   5525,   6313, 
/* msg =   3384, deg =  6 */    255,    594,   2734,   3582,   4771,   6594, 
/* msg =   3385, deg =  6 */   2344,   2443,   4718,   5434,   7050,   7844, 
/* msg =   3386, deg =  6 */    232,   2890,   4806,   4952,   5180,   6232, 
/* msg =   3387, deg =  6 */    108,   1238,   2838,   2946,   4331,   7684, 
/* msg =   3388, deg =  6 */   1386,   1656,   2475,   3570,   3767,   7261, 
/* msg =   3389, deg =  6 */   2453,   3488,   3803,   5987,   7100,   7281, 
/* msg =   3390, deg =  6 */    356,    714,    780,   1858,   5015,   7140, 
/* msg =   3391, deg =  6 */    349,   1549,   1720,   2142,   2785,   6207, 
/* msg =   3392, deg =  6 */    573,   2133,   2606,   3892,   5936,   7221, 
/* msg =   3393, deg =  6 */    964,   1079,   2276,   3379,   5878,   6218, 
/* msg =   3394, deg =  6 */    263,   1381,   2591,   3192,   4253,   5413, 
/* msg =   3395, deg =  6 */    860,   4008,   5121,   5672,   7584,   7970, 
/* msg =   3396, deg =  6 */    152,    860,   5189,   5383,   5687,   6288, 
/* msg =   3397, deg =  6 */    809,   1347,   2032,   3351,   3888,   4421, 
/* msg =   3398, deg =  6 */   1571,   2613,   4744,   5017,   5665,   7811, 
/* msg =   3399, deg =  6 */    963,   1399,   2060,   3054,   4099,   7226, 
/* msg =   3400, deg =  6 */   2721,   3631,   6757,   7032,   7579,   7807, 
/* msg =   3401, deg =  6 */    991,   1748,   4118,   4309,   5031,   5276, 
/* msg =   3402, deg =  6 */    346,   1193,   3412,   3925,   4311,   5729, 
/* msg =   3403, deg =  6 */   2958,   3478,   3720,   5945,   5971,   6543, 
/* msg =   3404, deg =  6 */    665,   1229,   1231,   2773,   4835,   6168, 
/* msg =   3405, deg =  6 */    286,    944,   2388,   3469,   4888,   7333, 
/* msg =   3406, deg =  6 */     40,   4675,   4814,   5180,   6347,   6784, 
/* msg =   3407, deg =  6 */    946,   1470,   3371,   3479,   4621,   5660, 
/* msg =   3408, deg =  6 */     81,   3983,   6134,   6444,   6465,   7382, 
/* msg =   3409, deg =  6 */    956,   3173,   3894,   4438,   4720,   6296, 
/* msg =   3410, deg =  6 */   3809,   5052,   5339,   6455,   6663,   7169, 
/* msg =   3411, deg =  6 */    197,   1179,   3770,   3845,   4043,   5955, 
/* msg =   3412, deg =  6 */    806,   1050,   1890,   2171,   4547,   5586, 
/* msg =   3413, deg =  6 */    380,   2908,   3985,   4690,   6387,   7802, 
/* msg =   3414, deg =  6 */   2213,   3974,   4355,   5143,   5468,   7897, 
/* msg =   3415, deg =  6 */   1169,   2371,   4482,   5996,   6067,   7505, 
/* msg =   3416, deg =  6 */   1439,   4075,   4402,   4478,   6186,   7558, 
/* msg =   3417, deg =  6 */    326,    391,   1255,   5209,   5943,   7856, 
/* msg =   3418, deg =  6 */    357,    385,   2037,   5326,   6513,   7586, 
/* msg =   3419, deg =  6 */   1328,   1696,   3145,   3748,   5455,   7034, 
/* msg =   3420, deg =  6 */   1361,   2467,   3143,   4203,   5154,   7301, 
/* msg =   3421, deg =  6 */   2396,   3079,   3673,   4986,   6644,   7964, 
/* msg =   3422, deg =  6 */   1563,   2521,   3392,   5884,   6898,   7907, 
/* msg =   3423, deg =  6 */    121,    585,    791,   4360,   4770,   5004, 
/* msg =   3424, deg =  6 */    891,   2678,   4054,   4161,   4395,   7762, 
/* msg =   3425, deg =  6 */    857,   3291,   5346,   6355,   6440,   7977, 
/* msg =   3426, deg =  6 */   1500,   3560,   4023,   4165,   4883,   7590, 
/* msg =   3427, deg =  6 */    177,    484,   1838,   3319,   3990,   5763, 
/* msg =   3428, deg =  6 */    654,   3620,   3915,   5521,   6883,   7027, 
/* msg =   3429, deg =  6 */    100,    209,    962,   1345,   2713,   6360, 
/* msg =   3430, deg =  6 */     89,   4458,   4751,   4914,   6093,   6426, 
/* msg =   3431, deg =  6 */    806,    823,   3408,   3790,   4921,   5697, 
/* msg =   3432, deg =  6 */   1701,   4544,   4804,   5070,   7807,   7930, 
/* msg =   3433, deg =  6 */    959,   4308,   4772,   5237,   5999,   7898, 
/* msg =   3434, deg =  6 */    398,   2017,   2538,   4569,   4576,   7852, 
/* msg =   3435, deg =  6 */    376,    946,   2018,   2191,   4400,   7167, 
/* msg =   3436, deg =  6 */    820,   1807,   2032,   3746,   5136,   6664, 
/* msg =   3437, deg =  6 */    852,    879,   1520,   4348,   4809,   4817, 
/* msg =   3438, deg =  6 */   1273,   1900,   3047,   4907,   7121,   7860, 
/* msg =   3439, deg =  6 */   2028,   3983,   4143,   4770,   5416,   7275, 
/* msg =   3440, deg =  6 */     47,   2327,   2823,   4454,   4842,   5284, 
/* msg =   3441, deg =  6 */     74,   1105,   3261,   5012,   6399,   6534, 
/* msg =   3442, deg =  6 */    835,   1960,   2799,   3190,   3916,   4714, 
/* msg =   3443, deg =  6 */    425,   1884,   2062,   4681,   4863,   7659, 
/* msg =   3444, deg =  6 */    570,    766,   1764,   2988,   3854,   5775, 
/* msg =   3445, deg =  6 */   2606,   2920,   3738,   5366,   6195,   7941, 
/* msg =   3446, deg =  6 */   2689,   3520,   3639,   3742,   4940,   7892, 
/* msg =   3447, deg =  6 */   1860,   4252,   5457,   5657,   6589,   7318, 
/* msg =   3448, deg =  6 */    498,   1748,   2515,   2743,   3801,   7679, 
/* msg =   3449, deg =  6 */   1440,   6026,   6791,   7248,   7361,   7842, 
/* msg =   3450, deg =  6 */    246,   2035,   4037,   6340,   6624,   6753, 
/* msg =   3451, deg =  6 */   1162,   1988,   2143,   3097,   5284,   6175, 
/* msg =   3452, deg =  6 */   1239,   1385,   1398,   2378,   2839,   4101, 
/* msg =   3453, deg =  6 */   1378,   1717,   3312,   5731,   7055,   7101, 
/* msg =   3454, deg =  6 */   2615,   4370,   4490,   4576,   7357,   7766, 
/* msg =   3455, deg =  6 */    403,   1384,   2320,   3424,   4736,   5149, 
/* msg =   3456, deg =  6 */    220,    324,    613,   1533,   5686,   6456, 
/* msg =   3457, deg =  6 */    106,    218,    674,   3362,   6244,   7394, 
/* msg =   3458, deg =  6 */   1353,   2024,   3250,   5192,   7061,   7616, 
/* msg =   3459, deg =  6 */     78,   1580,   1641,   2177,   5611,   7588, 
/* msg =   3460, deg =  6 */   3306,   3333,   5276,   5703,   6193,   7672, 
/* msg =   3461, deg =  6 */   3398,   3528,   4491,   4623,   6799,   7831, 
/* msg =   3462, deg =  6 */   2875,   2980,   3952,   4195,   4521,   6614, 
/* msg =   3463, deg =  6 */   1043,   1882,   2992,   4332,   5053,   6810, 
/* msg =   3464, deg =  6 */   1751,   3084,   3703,   5866,   6264,   7172, 
/* msg =   3465, deg =  6 */   1809,   2589,   3506,   3569,   4991,   6787, 
/* msg =   3466, deg =  6 */   3215,   4090,   4123,   7171,   7786,   7804, 
/* msg =   3467, deg =  6 */    150,    921,   2781,   2837,   5468,   7574, 
/* msg =   3468, deg =  6 */    117,   4822,   5735,   6932,   7536,   7784, 
/* msg =   3469, deg =  6 */    248,    970,   3343,   3404,   4599,   4893, 
/* msg =   3470, deg =  6 */   2783,   2917,   3078,   4257,   4268,   7942, 
/* msg =   3471, deg =  6 */   1133,   2034,   2210,   3930,   6063,   7421, 
/* msg =   3472, deg =  6 */   1286,   1659,   3667,   6181,   6958,   7263, 
/* msg =   3473, deg =  6 */   1609,   2504,   3474,   5086,   6237,   7492, 
/* msg =   3474, deg =  6 */    208,   2241,   2246,   2705,   3468,   4205, 
/* msg =   3475, deg =  6 */    751,   1762,   2308,   3739,   5574,   7238, 
/* msg =   3476, deg =  6 */   1608,   3420,   3894,   6092,   7193,   7260, 
/* msg =   3477, deg =  6 */     55,    862,   1434,   1493,   5298,   7973, 
/* msg =   3478, deg =  6 */    303,    752,    818,    982,   5865,   7279, 
/* msg =   3479, deg =  6 */    251,   2214,   5059,   6406,   7263,   7458, 
/* msg =   3480, deg =  6 */   1598,   3743,   3839,   3949,   4336,   6339, 
/* msg =   3481, deg =  6 */   1582,   1771,   3518,   3562,   5081,   5556, 
/* msg =   3482, deg =  6 */   1687,   2008,   2391,   2421,   5919,   7385, 
/* msg =   3483, deg =  6 */    306,   2609,   3255,   3482,   4101,   4516, 
/* msg =   3484, deg =  6 */    786,   1384,   2012,   3345,   6203,   7710, 
/* msg =   3485, deg =  6 */    512,   1483,   3699,   4887,   6009,   6880, 
/* msg =   3486, deg =  6 */   2375,   2760,   3669,   4552,   5546,   6516, 
/* msg =   3487, deg =  6 */    809,   3880,   5429,   5630,   6914,   7951, 
/* msg =   3488, deg =  6 */   2466,   4112,   4479,   5519,   6028,   6269, 
/* msg =   3489, deg =  6 */    838,   1070,   1278,   1926,   4400,   4533, 
/* msg =   3490, deg =  6 */    866,   2829,   5357,   5843,   6615,   7302, 
/* msg =   3491, deg =  6 */   2206,   5297,   5750,   6520,   6825,   6851, 
/* msg =   3492, deg =  6 */    112,    549,    992,   4952,   5405,   7979, 
/* msg =   3493, deg =  6 */    160,    750,    813,   1190,   5912,   6285, 
/* msg =   3494, deg =  6 */     42,    226,    288,   1698,   6128,   6434, 
/* msg =   3495, deg =  6 */    239,    700,   1536,   4342,   5079,   7153, 
/* msg =   3496, deg =  6 */   3764,   4169,   4744,   5827,   7464,   7694, 
/* msg =   3497, deg =  6 */    576,   2014,   3180,   3423,   7729,   7789, 
/* msg =   3498, deg =  6 */   1063,   2043,   2049,   3099,   5587,   6191, 
/* msg =   3499, deg =  6 */    654,    744,    807,   1491,   3897,   6135, 
/* msg =   3500, deg =  6 */   1043,   1660,   5105,   5229,   5862,   6574, 
/* msg =   3501, deg =  6 */    787,   1107,   1267,   2907,   4598,   5473, 
/* msg =   3502, deg =  6 */   1632,   1949,   4542,   7042,   7244,   7900, 
/* msg =   3503, deg =  6 */   1346,   1395,   1606,   3829,   5063,   6524, 
/* msg =   3504, deg =  6 */    315,   1675,   2438,   5961,   6597,   7427, 
/* msg =   3505, deg =  6 */    155,   1767,   4982,   5017,   6928,   7806, 
/* msg =   3506, deg =  6 */    202,   1357,   2788,   3496,   6328,   7304, 
/* msg =   3507, deg =  6 */   1066,   3663,   3850,   4429,   4905,   6238, 
/* msg =   3508, deg =  6 */    482,   1446,   2384,   2824,   5006,   6950, 
/* msg =   3509, deg =  6 */     68,   2270,   4500,   6346,   7687,   7999, 
/* msg =   3510, deg =  6 */    466,    776,   2043,   4977,   5936,   7005, 
/* msg =   3511, deg =  6 */   1986,   2005,   2207,   3223,   6024,   7031, 
/* msg =   3512, deg =  6 */    968,   1680,   2353,   3222,   3508,   7916, 
/* msg =   3513, deg =  6 */    488,    635,   1629,   5370,   5814,   7686, 
/* msg =   3514, deg =  6 */    596,   1100,   6129,   6448,   7045,   7622, 
/* msg =   3515, deg =  6 */    646,   4256,   4918,   5191,   7355,   7949, 
/* msg =   3516, deg =  6 */    297,   3738,   4071,   4641,   4858,   7623, 
/* msg =   3517, deg =  6 */    478,    620,   1093,   3070,   4588,   6886, 
/* msg =   3518, deg =  6 */   2543,   3142,   3834,   4524,   6627,   6818, 
/* msg =   3519, deg =  6 */    204,   1877,   2155,   2313,   3833,   6463, 
/* msg =   3520, deg =  6 */   2349,   2597,   3090,   3905,   5161,   5375, 
/* msg =   3521, deg =  6 */    306,    522,   5260,   5616,   6689,   7832, 
/* msg =   3522, deg =  6 */   1177,   1948,   2670,   4069,   4913,   6476, 
/* msg =   3523, deg =  6 */    587,   1847,   1999,   3046,   7560,   7591, 
/* msg =   3524, deg =  6 */   1371,   4102,   4161,   5606,   5853,   6514, 
/* msg =   3525, deg =  6 */   2367,   2805,   4130,   5370,   6758,   6955, 
/* msg =   3526, deg =  6 */    896,   3305,   3945,   4594,   5865,   7446, 
/* msg =   3527, deg =  6 */    389,   1202,   2873,   3271,   6399,   7835, 
/* msg =   3528, deg =  6 */    257,   1048,   2233,   2848,   5091,   7145, 
/* msg =   3529, deg =  6 */    301,   1952,   5582,   6017,   6891,   7603, 
/* msg =   3530, deg =  6 */     79,    590,   1913,   3599,   4146,   4691, 
/* msg =   3531, deg =  6 */    645,    661,   1497,   3248,   6291,   7066, 
/* msg =   3532, deg =  6 */    641,   1733,   2430,   3955,   4380,   5822, 
/* msg =   3533, deg =  6 */   2817,   3171,   4117,   4398,   5764,   6401, 
/* msg =   3534, deg =  6 */   1641,   3247,   5168,   5922,   7071,   7766, 
/* msg =   3535, deg =  6 */    832,   2322,   2440,   2526,   3136,   6897, 
/* msg =   3536, deg =  6 */    198,    598,   2242,   2949,   3508,   6110, 
/* msg =   3537, deg =  6 */    196,   4328,   6527,   6558,   6652,   6769, 
/* msg =   3538, deg =  6 */     37,    753,   2858,   3013,   4037,   4216, 
/* msg =   3539, deg =  6 */    495,   2257,   4582,   4681,   4911,   6251, 
/* msg =   3540, deg =  6 */   2679,   4186,   5488,   7029,   7254,   7641, 
/* msg =   3541, deg =  6 */   1143,   2649,   3529,   6688,   6910,   7586, 
/* msg =   3542, deg =  6 */   2230,   2674,   2954,   5004,   6071,   6861, 
/* msg =   3543, deg =  6 */    917,   1242,   1782,   2748,   4166,   4797, 
/* msg =   3544, deg =  6 */    243,   2609,   2832,   5897,   6460,   7904, 
/* msg =   3545, deg =  6 */    637,   1502,   2591,   3917,   4291,   5218, 
/* msg =   3546, deg =  6 */   4556,   6137,   6573,   6983,   7279,   7957, 
/* msg =   3547, deg =  6 */    961,   3007,   3032,   3125,   5861,   5891, 
/* msg =   3548, deg =  6 */   3037,   4199,   5021,   5878,   6381,   6898, 
/* msg =   3549, deg =  6 */   2196,   3341,   4725,   6052,   6451,   6797, 
/* msg =   3550, deg =  6 */    697,   2259,   3681,   5493,   7780,   7849, 
/* msg =   3551, deg =  6 */   2677,   3019,   4200,   5478,   5664,   7472, 
/* msg =   3552, deg =  6 */     14,   1025,   1245,   3508,   3529,   3997, 
/* msg =   3553, deg =  6 */    424,    448,    739,    971,   1449,   3002, 
/* msg =   3554, deg =  6 */   1019,   3568,   3863,   4476,   6241,   7546, 
/* msg =   3555, deg =  6 */    489,   2227,   2402,   3818,   6356,   7745, 
/* msg =   3556, deg =  6 */    268,   2827,   5982,   7099,   7433,   7558, 
/* msg =   3557, deg =  6 */    324,    758,   1263,   2898,   3843,   4362, 
/* msg =   3558, deg =  6 */   3672,   5765,   5992,   6548,   6953,   7727, 
/* msg =   3559, deg =  6 */    416,   1827,   2941,   4811,   6927,   7846, 
/* msg =   3560, deg =  6 */    993,   4531,   5483,   5856,   7649,   7750, 
/* msg =   3561, deg =  6 */   2696,   2863,   3300,   3885,   6352,   6763, 
/* msg =   3562, deg =  6 */   3233,   4060,   4141,   4400,   4927,   6169, 
/* msg =   3563, deg =  6 */   1847,   1921,   2486,   4937,   5201,   7096, 
/* msg =   3564, deg =  6 */   2077,   3165,   3319,   4422,   5342,   5775, 
/* msg =   3565, deg =  6 */   2033,   3372,   4706,   7035,   7558,   7635, 
/* msg =   3566, deg =  6 */    428,   4225,   4231,   4871,   4888,   7441, 
/* msg =   3567, deg =  6 */   3846,   5248,   5382,   6124,   7105,   7462, 
/* msg =   3568, deg =  6 */    485,   2049,   2499,   3048,   3956,   4297, 
/* msg =   3569, deg =  6 */   1218,   1368,   1722,   2730,   5882,   7967, 
/* msg =   3570, deg =  6 */     90,   1083,   2432,   2988,   3205,   6059, 
/* msg =   3571, deg =  6 */   1484,   2618,   3536,   5309,   5907,   7084, 
/* msg =   3572, deg =  6 */   1570,   1716,   3656,   4559,   6390,   6839, 
/* msg =   3573, deg =  6 */    487,   1011,   3537,   5903,   6931,   7423, 
/* msg =   3574, deg =  6 */    988,   1561,   2484,   3128,   5391,   6774, 
/* msg =   3575, deg =  6 */   2265,   3201,   4964,   5920,   6415,   7898, 
/* msg =   3576, deg =  6 */    715,   3633,   4761,   4837,   4926,   6476, 
/* msg =   3577, deg =  6 */    978,   2005,   3768,   4125,   4435,   7112, 
/* msg =   3578, deg =  6 */    139,    921,   5311,   5888,   7910,   7938, 
/* msg =   3579, deg =  6 */     11,    470,    728,   1561,   3122,   5744, 
/* msg =   3580, deg =  6 */    136,   1616,   2519,   4786,   5459,   7426, 
/* msg =   3581, deg =  6 */   1214,   1553,   1630,   2517,   4110,   5229, 
/* msg =   3582, deg =  6 */    219,    326,    559,   2569,   2888,   4463, 
/* msg =   3583, deg =  6 */   1937,   2524,   2737,   3471,   3982,   4570, 
/* msg =   3584, deg =  6 */    751,   1408,   1951,   4749,   4941,   6876, 
/* msg =   3585, deg =  6 */   2023,   2662,   2923,   4808,   5543,   6155, 
/* msg =   3586, deg =  6 */   1671,   2446,   3069,   3619,   4123,   5080, 
/* msg =   3587, deg =  6 */   1195,   1539,   3918,   5476,   6070,   7774, 
/* msg =   3588, deg =  6 */   1295,   2336,   2407,   2617,   2823,   3680, 
/* msg =   3589, deg =  6 */    885,   1407,   2441,   4918,   6518,   7589, 
/* msg =   3590, deg =  6 */    281,    532,   5026,   5173,   5273,   5806, 
/* msg =   3591, deg =  6 */   1868,   3372,   4073,   5018,   5254,   5418, 
/* msg =   3592, deg =  6 */   3444,   5240,   5929,   6197,   6302,   6964, 
/* msg =   3593, deg =  6 */   2698,   3197,   4412,   5708,   6283,   7602, 
/* msg =   3594, deg =  6 */   1630,   1901,   3295,   3988,   4894,   5401, 
/* msg =   3595, deg =  6 */    245,   1939,   2786,   4515,   5913,   6272, 
/* msg =   3596, deg =  6 */   1290,   3306,   3734,   3769,   4880,   5464, 
/* msg =   3597, deg =  6 */    376,    792,   1426,   3463,   4274,   6293, 
/* msg =   3598, deg =  6 */   1887,   3110,   3361,   4300,   7410,   7827, 
/* msg =   3599, deg =  6 */    988,   2600,   2673,   3010,   5887,   6136, 
/* msg =   3600, deg =  6 */   1197,   3016,   3842,   4445,   4617,   7244, 
/* msg =   3601, deg =  6 */    704,    978,   1450,   1777,   2860,   3218, 
/* msg =   3602, deg =  6 */    521,   4479,   5764,   6657,   6773,   7120, 
/* msg =   3603, deg =  6 */    513,   1016,   4404,   4434,   4662,   7926, 
/* msg =   3604, deg =  6 */    711,   1766,   2239,   3243,   4251,   6962, 
/* msg =   3605, deg =  6 */   1197,   1322,   2938,   4307,   6731,   6864, 
/* msg =   3606, deg =  6 */   2727,   4194,   5446,   5965,   6522,   7977, 
/* msg =   3607, deg =  6 */    535,   5340,   5491,   6247,   6956,   7891, 
/* msg =   3608, deg =  6 */   2092,   3204,   3439,   3638,   5242,   6811, 
/* msg =   3609, deg =  6 */   1078,   1448,   1720,   6459,   6834,   7111, 
/* msg =   3610, deg =  6 */    531,   3699,   3702,   4473,   4576,   6060, 
/* msg =   3611, deg =  6 */   1114,   2263,   3087,   6504,   6930,   7343, 
/* msg =   3612, deg =  6 */   1597,   4245,   5133,   6368,   6589,   6746, 
/* msg =   3613, deg =  6 */    629,    883,   1005,   1089,   3740,   5933, 
/* msg =   3614, deg =  6 */     58,   2281,   3698,   6151,   6947,   7392, 
/* msg =   3615, deg =  6 */    291,   1241,   3186,   4542,   5219,   7738, 
/* msg =   3616, deg =  6 */     82,    446,   1103,   3745,   6221,   6994, 
/* msg =   3617, deg =  6 */     33,   1823,   2400,   4436,   6281,   6446, 
/* msg =   3618, deg =  6 */   2148,   2767,   3434,   5618,   7226,   7893, 
/* msg =   3619, deg =  6 */    995,   1647,   4521,   5380,   7369,   7727, 
/* msg =   3620, deg =  6 */   1371,   1631,   4138,   4716,   6423,   6699, 
/* msg =   3621, deg =  6 */    265,   2785,   6551,   6634,   7141,   7316, 
/* msg =   3622, deg =  6 */   2913,   5186,   6414,   6531,   6596,   6679, 
/* msg =   3623, deg =  6 */   1146,   2363,   2590,   3206,   6033,   6854, 
/* msg =   3624, deg =  6 */   5499,   5817,   6738,   7016,   7058,   7674, 
/* msg =   3625, deg =  6 */     64,   1844,   2532,   3304,   6110,   6916, 
/* msg =   3626, deg =  6 */   2251,   3052,   3789,   4791,   5405,   7026, 
/* msg =   3627, deg =  6 */     72,   1250,   1542,   5574,   5618,   7003, 
/* msg =   3628, deg =  6 */   1585,   4191,   5142,   6536,   7885,   7893, 
/* msg =   3629, deg =  6 */    688,   2645,   5993,   6229,   6648,   7139, 
/* msg =   3630, deg =  6 */   1552,   2172,   2604,   3739,   5590,   7095, 
/* msg =   3631, deg =  6 */   1301,   2287,   2324,   3313,   6038,   6889, 
/* msg =   3632, deg =  6 */    440,   2608,   5248,   6076,   6250,   7760, 
/* msg =   3633, deg =  6 */   1147,   2817,   3294,   3782,   4256,   6740, 
/* msg =   3634, deg =  6 */   1544,   2582,   6129,   6623,   7115,   7720, 
/* msg =   3635, deg =  6 */    382,    934,   3556,   4013,   5734,   7926, 
/* msg =   3636, deg =  6 */   1929,   3926,   4753,   5200,   6407,   6598, 
/* msg =   3637, deg =  6 */   1874,   2401,   3970,   4754,   6715,   7577, 
/* msg =   3638, deg =  6 */    378,   1052,   2372,   2563,   2620,   4168, 
/* msg =   3639, deg =  6 */    686,   1399,   1685,   2708,   7373,   7935, 
/* msg =   3640, deg =  6 */    167,   3174,   3776,   4429,   5593,   7035, 
/* msg =   3641, deg =  6 */   1966,   2280,   3427,   5988,   6396,   7814, 
/* msg =   3642, deg =  6 */    851,   1247,   2324,   4790,   6813,   7431, 
/* msg =   3643, deg =  6 */   2042,   2134,   4333,   4390,   5030,   5121, 
/* msg =   3644, deg =  6 */    541,   1352,   2170,   5625,   6456,   7692, 
/* msg =   3645, deg =  6 */    404,   2121,   2993,   3616,   6792,   7416, 
/* msg =   3646, deg =  6 */   3182,   3543,   5014,   5240,   5423,   6689, 
/* msg =   3647, deg =  6 */   2300,   3298,   3503,   3604,   4104,   6231, 
/* msg =   3648, deg =  6 */     11,    897,   2297,   3377,   6671,   7600, 
/* msg =   3649, deg =  6 */    451,   2536,   3854,   5863,   6348,   6694, 
/* msg =   3650, deg =  6 */    825,   1619,   3919,   4912,   5469,   5779, 
/* msg =   3651, deg =  6 */   2312,   2553,   2678,   4040,   6905,   7076, 
/* msg =   3652, deg =  6 */    104,    296,   1011,   1730,   5343,   7302, 
/* msg =   3653, deg =  6 */   1118,   1679,   2019,   4541,   4915,   5655, 
/* msg =   3654, deg =  6 */    620,   1708,   2287,   3049,   5373,   7680, 
/* msg =   3655, deg =  6 */    601,   3227,   3640,   4482,   5565,   7153, 
/* msg =   3656, deg =  6 */     62,   2684,   4236,   4760,   5713,   7798, 
/* msg =   3657, deg =  6 */   1882,   3167,   5047,   5087,   5144,   7550, 
/* msg =   3658, deg =  6 */    618,    622,   3303,   3962,   7292,   7883, 
/* msg =   3659, deg =  6 */   1117,   1730,   2882,   3031,   4648,   7212, 
/* msg =   3660, deg =  6 */    325,    405,   2189,   2584,   2942,   4432, 
/* msg =   3661, deg =  6 */   1448,   2237,   2929,   2964,   4622,   7540, 
/* msg =   3662, deg =  6 */    355,   1373,   5369,   5773,   6482,   6945, 
/* msg =   3663, deg =  6 */    720,   2064,   2564,   4322,   6136,   6160, 
/* msg =   3664, deg =  6 */   3244,   3882,   4151,   4931,   4982,   5283, 
/* msg =   3665, deg =  6 */    644,   2309,   4646,   6589,   6990,   7389, 
/* msg =   3666, deg =  6 */   2921,   4177,   5277,   5298,   5810,   7989, 
/* msg =   3667, deg =  6 */    362,   2180,   2212,   2474,   3297,   5777, 
/* msg =   3668, deg =  6 */    284,   1565,   2736,   5973,   6036,   6932, 
/* msg =   3669, deg =  6 */   2520,   2568,   4713,   6291,   7053,   7937, 
/* msg =   3670, deg =  6 */    477,    769,   2003,   3447,   5257,   6228, 
/* msg =   3671, deg =  6 */   1424,   1673,   2193,   5074,   7305,   7487, 
/* msg =   3672, deg =  6 */    634,   2639,   5930,   6884,   7489,   7992, 
/* msg =   3673, deg =  6 */    742,   1308,   1563,   3350,   3561,   6933, 
/* msg =   3674, deg =  6 */   2379,   2445,   3591,   4003,   4251,   4495, 
/* msg =   3675, deg =  6 */   6032,   6117,   6993,   7269,   7479,   7993, 
/* msg =   3676, deg =  6 */    699,   1003,   1980,   3193,   6611,   7437, 
/* msg =   3677, deg =  6 */   1260,   3727,   4122,   5306,   7231,   7666, 
/* msg =   3678, deg =  6 */     99,    745,   1691,   4854,   5299,   5486, 
/* msg =   3679, deg =  6 */   4663,   4923,   5092,   5931,   6709,   7288, 
/* msg =   3680, deg =  6 */   1023,   1907,   2359,   3369,   6166,   6784, 
/* msg =   3681, deg =  6 */    321,   3358,   3502,   5633,   6181,   7068, 
/* msg =   3682, deg =  6 */   1235,   2171,   3208,   3251,   5558,   6735, 
/* msg =   3683, deg =  6 */    435,   4363,   4374,   5181,   6559,   6840, 
/* msg =   3684, deg =  6 */    369,   1039,   1788,   2944,   4343,   5016, 
/* msg =   3685, deg =  6 */    507,   1542,   3163,   3531,   3862,   6255, 
/* msg =   3686, deg =  6 */    136,    469,    758,    899,   7010,   7356, 
/* msg =   3687, deg =  6 */   1729,   2182,   4821,   6251,   6800,   7260, 
/* msg =   3688, deg =  6 */    657,    846,   1400,   4892,   7375,   7839, 
/* msg =   3689, deg =  6 */   1075,   3380,   4750,   6206,   6672,   7190, 
/* msg =   3690, deg =  6 */    133,    333,   1480,   3510,   4715,   7036, 
/* msg =   3691, deg =  6 */   2924,   3235,   3243,   5245,   6045,   7100, 
/* msg =   3692, deg =  6 */   1914,   2245,   4456,   5482,   7508,   7740, 
/* msg =   3693, deg =  6 */   1157,   3277,   3763,   4442,   6342,   6638, 
/* msg =   3694, deg =  6 */    648,   1493,   2054,   4690,   4740,   5934, 
/* msg =   3695, deg =  6 */      2,   3153,   5042,   5086,   6402,   7584, 
/* msg =   3696, deg =  6 */   2951,   3045,   5573,   5944,   6906,   7631, 
/* msg =   3697, deg =  6 */    890,   1672,   1766,   4725,   5964,   6209, 
/* msg =   3698, deg =  6 */    390,   1803,   5125,   5670,   6053,   7781, 
/* msg =   3699, deg =  6 */   2156,   3941,   4579,   6005,   6320,   6894, 
/* msg =   3700, deg =  6 */   3771,   4600,   5031,   7378,   7392,   7535, 
/* msg =   3701, deg =  6 */   1138,   1299,   3620,   4127,   5860,   6478, 
/* msg =   3702, deg =  6 */    965,   1501,   1736,   3145,   6839,   7073, 
/* msg =   3703, deg =  6 */    690,    869,   2735,   4100,   4744,   5076, 
/* msg =   3704, deg =  6 */   2373,   3463,   3918,   5557,   5988,   6789, 
/* msg =   3705, deg =  6 */    318,   1783,   5213,   6525,   7652,   7719, 
/* msg =   3706, deg =  6 */   1104,   3326,   4458,   6397,   7337,   7742, 
/* msg =   3707, deg =  6 */   4540,   4562,   5027,   5871,   6489,   7207, 
/* msg =   3708, deg =  6 */      3,    545,   2398,   5680,   6113,   7559, 
/* msg =   3709, deg =  6 */   2044,   2257,   4059,   6609,   6620,   7658, 
/* msg =   3710, deg =  6 */   3266,   3429,   5991,   6143,   7098,   7588, 
/* msg =   3711, deg =  6 */   1366,   3462,   3620,   3721,   5226,   5538, 
/* msg =   3712, deg =  6 */   1233,   1535,   1658,   4705,   7000,   7959, 
/* msg =   3713, deg =  6 */     97,   1995,   2225,   3818,   4612,   6460, 
/* msg =   3714, deg =  6 */    667,   1201,   2825,   4049,   5258,   7577, 
/* msg =   3715, deg =  6 */   1223,   1518,   4636,   5415,   6253,   7608, 
/* msg =   3716, deg =  6 */     79,    810,   5003,   5505,   7376,   7411, 
/* msg =   3717, deg =  6 */   1162,   1910,   2619,   3211,   3519,   3783, 
/* msg =   3718, deg =  6 */    628,    788,   4483,   6530,   6768,   7271, 
/* msg =   3719, deg =  6 */   1993,   2004,   3164,   4041,   4054,   4090, 
/* msg =   3720, deg =  6 */    461,   1081,   3204,   3904,   4488,   7781, 
/* msg =   3721, deg =  6 */   1420,   3456,   5484,   6576,   7098,   7323, 
/* msg =   3722, deg =  6 */    268,    680,    965,   4550,   6295,   7629, 
/* msg =   3723, deg =  6 */   1704,   2795,   6648,   6804,   7093,   7364, 
/* msg =   3724, deg =  6 */    206,    216,   3278,   5413,   5640,   7109, 
/* msg =   3725, deg =  6 */    242,   1091,   2388,   7108,   7253,   7500, 
/* msg =   3726, deg =  6 */    845,   2839,   3123,   3198,   3820,   5231, 
/* msg =   3727, deg =  6 */   3483,   3727,   4380,   5132,   6338,   7989, 
/* msg =   3728, deg =  6 */    105,    481,   2408,   2982,   3872,   6122, 
/* msg =   3729, deg =  6 */    557,    565,   3936,   4120,   5250,   6096, 
/* msg =   3730, deg =  6 */     41,   3889,   5805,   5811,   6514,   7113, 
/* msg =   3731, deg =  6 */   1781,   4485,   4585,   5700,   6929,   7512, 
/* msg =   3732, deg =  6 */    546,   2971,   3688,   4986,   6240,   7837, 
/* msg =   3733, deg =  6 */    925,   2598,   2931,   4606,   4608,   6764, 
/* msg =   3734, deg =  6 */   1190,   2573,   3238,   3349,   3370,   3617, 
/* msg =   3735, deg =  6 */   3810,   4216,   4237,   6854,   6902,   7491, 
/* msg =   3736, deg =  6 */   1006,   2346,   3366,   3824,   6088,   7281, 
/* msg =   3737, deg =  6 */   4096,   5115,   6421,   6963,   7051,   7344, 
/* msg =   3738, deg =  6 */   1190,   2066,   2375,   3336,   5322,   7697, 
/* msg =   3739, deg =  6 */     91,   3146,   4216,   4715,   6717,   7439, 
/* msg =   3740, deg =  6 */   1074,   2283,   3050,   3272,   3998,   4538, 
/* msg =   3741, deg =  6 */    446,   1650,   3736,   3820,   4201,   6266, 
/* msg =   3742, deg =  6 */    543,   1154,   4638,   4657,   6498,   6943, 
/* msg =   3743, deg =  6 */    256,   3315,   3452,   4172,   5203,   7242, 
/* msg =   3744, deg =  6 */     79,   1253,   3016,   3042,   5521,   7415, 
/* msg =   3745, deg =  6 */    324,   3122,   4133,   5526,   5894,   6918, 
/* msg =   3746, deg =  6 */    824,    972,   1228,   1516,   1742,   5692, 
/* msg =   3747, deg =  6 */    328,   2422,   2898,   4072,   5813,   7082, 
/* msg =   3748, deg =  6 */   1321,   3208,   4209,   4852,   5607,   7467, 
/* msg =   3749, deg =  6 */   2958,   5214,   6226,   6288,   6526,   7233, 
/* msg =   3750, deg =  6 */   2386,   2777,   3281,   3435,   6825,   7400, 
/* msg =   3751, deg =  6 */    905,    909,   2248,   2401,   3155,   7702, 
/* msg =   3752, deg =  6 */   1132,   1622,   3377,   5534,   5542,   6585, 
/* msg =   3753, deg =  6 */   1433,   3672,   4384,   4457,   7093,   7583, 
/* msg =   3754, deg =  6 */   3265,   3444,   4339,   5695,   7471,   7869, 
/* msg =   3755, deg =  6 */   1412,   1613,   4956,   6720,   7043,   7240, 
/* msg =   3756, deg =  6 */   3203,   4830,   5281,   5361,   6939,   7408, 
/* msg =   3757, deg =  6 */    480,   1319,   3318,   6629,   7157,   7532, 
/* msg =   3758, deg =  6 */   1609,   3279,   4107,   4324,   4972,   7703, 
/* msg =   3759, deg =  6 */   1740,   3838,   6175,   6631,   6675,   7645, 
/* msg =   3760, deg =  6 */    267,    873,   1508,   4632,   6634,   7374, 
/* msg =   3761, deg =  6 */    214,   2164,   3420,   6699,   6737,   7408, 
/* msg =   3762, deg =  6 */    130,   3064,   3775,   3910,   4663,   7232, 
/* msg =   3763, deg =  6 */    875,   1559,   1725,   4005,   4823,   7286, 
/* msg =   3764, deg =  6 */    204,    292,   2461,   2677,   6148,   7487, 
/* msg =   3765, deg =  6 */   2457,   4725,   5631,   6711,   7723,   7831, 
/* msg =   3766, deg =  6 */    153,   3158,   4212,   5417,   5649,   5666, 
/* msg =   3767, deg =  6 */   3542,   3958,   4058,   6986,   7178,   7958, 
/* msg =   3768, deg =  6 */   2411,   3493,   5486,   5589,   6496,   7518, 
/* msg =   3769, deg =  6 */   3185,   4324,   4731,   5215,   5418,   5537, 
/* msg =   3770, deg =  6 */   2623,   3094,   4741,   5922,   6126,   6444, 
/* msg =   3771, deg =  6 */   2317,   2353,   4497,   5277,   6489,   7735, 
/* msg =   3772, deg =  6 */   1912,   2928,   5054,   5343,   7590,   7923, 
/* msg =   3773, deg =  6 */   1069,   1886,   5938,   5950,   7299,   7858, 
/* msg =   3774, deg =  6 */   2526,   3309,   4180,   5502,   5958,   6392, 
/* msg =   3775, deg =  6 */    119,    830,   3647,   4109,   5753,   6767, 
/* msg =   3776, deg =  6 */   1105,   1763,   2327,   2565,   4374,   6870, 
/* msg =   3777, deg =  6 */    179,    639,   1915,   2162,   5096,   6378, 
/* msg =   3778, deg =  6 */   1513,   2068,   2166,   4231,   5424,   5481, 
/* msg =   3779, deg =  6 */    151,   1402,   2383,   4737,   6897,   7067, 
/* msg =   3780, deg =  6 */    363,    695,   1128,   5056,   5796,   6613, 
/* msg =   3781, deg =  6 */    675,   2757,   3858,   5447,   5535,   7388, 
/* msg =   3782, deg =  6 */     42,     86,   3131,   4118,   4464,   7768, 
/* msg =   3783, deg =  6 */    869,   1035,   2136,   5040,   5667,   7834, 
/* msg =   3784, deg =  6 */   2242,   2665,   3507,   4313,   6879,   7614, 
/* msg =   3785, deg =  6 */     29,     84,   2993,   5483,   5921,   6538, 
/* msg =   3786, deg =  6 */   1012,   1519,   4625,   5681,   6738,   7702, 
/* msg =   3787, deg =  6 */   1323,   1407,   3116,   3575,   5630,   6348, 
/* msg =   3788, deg =  6 */    819,   3505,   5485,   6364,   7494,   7657, 
/* msg =   3789, deg =  6 */   2122,   2279,   2299,   5615,   7011,   7626, 
/* msg =   3790, deg =  6 */   1090,   3475,   5632,   5757,   6086,   7229, 
/* msg =   3791, deg =  6 */    186,    283,   1515,   2486,   3678,   4633, 
/* msg =   3792, deg =  6 */   1110,   5117,   5986,   6180,   6340,   7813, 
/* msg =   3793, deg =  6 */   2939,   3075,   4784,   5143,   5745,   7081, 
/* msg =   3794, deg =  6 */    336,   1041,   2798,   5247,   5812,   6101, 
/* msg =   3795, deg =  6 */    422,   2626,   3701,   5736,   7340,   7627, 
/* msg =   3796, deg =  6 */    927,   1683,   1931,   3393,   6717,   7580, 
/* msg =   3797, deg =  6 */    556,   1372,   2840,   3067,   4975,   7459, 
/* msg =   3798, deg =  6 */    237,   3320,   4091,   4753,   4839,   6389, 
/* msg =   3799, deg =  6 */    464,    909,   1384,   1659,   2362,   3358, 
/* msg =   3800, deg =  6 */     50,   1401,   2139,   2815,   5845,   5932, 
/* msg =   3801, deg =  6 */   1968,   4155,   4165,   4314,   5079,   5570, 
/* msg =   3802, deg =  6 */    717,    941,   1738,   2051,   4826,   6291, 
/* msg =   3803, deg =  6 */    253,   2707,   3291,   3488,   7036,   7228, 
/* msg =   3804, deg =  6 */    131,    894,   2098,   2548,   3671,   6371, 
/* msg =   3805, deg =  6 */    189,   4803,   6213,   6417,   6629,   7730, 
/* msg =   3806, deg =  6 */    356,   5217,   5914,   6437,   7048,   7696, 
/* msg =   3807, deg =  6 */    504,    552,    627,    677,   2819,   5275, 
/* msg =   3808, deg =  6 */    527,   1547,   2609,   4388,   6997,   7706, 
/* msg =   3809, deg =  6 */     87,    619,   1914,   2868,   3096,   4940, 
/* msg =   3810, deg =  6 */   1079,   1230,   2190,   2698,   2996,   7750, 
/* msg =   3811, deg =  6 */    225,    948,   2885,   5323,   7101,   7575, 
/* msg =   3812, deg =  6 */   1006,   2987,   3979,   4336,   4999,   7802, 
/* msg =   3813, deg =  6 */    573,   2989,   3583,   6795,   7289,   7779, 
/* msg =   3814, deg =  6 */   1367,   2765,   3242,   3704,   3774,   7735, 
/* msg =   3815, deg =  6 */    231,   1187,   1244,   2457,   3304,   4185, 
/* msg =   3816, deg =  6 */    230,    805,   2301,   2403,   4185,   6707, 
/* msg =   3817, deg =  6 */    247,   1999,   2828,   3152,   3686,   4480, 
/* msg =   3818, deg =  6 */   2208,   2973,   3035,   6377,   6832,   7775, 
/* msg =   3819, deg =  6 */    523,   2908,   4276,   4846,   6093,   7007, 
/* msg =   3820, deg =  6 */   4357,   6161,   6194,   6416,   7022,   7510, 
/* msg =   3821, deg =  6 */   2322,   2855,   3705,   4454,   5056,   7533, 
/* msg =   3822, deg =  6 */   3079,   5429,   5571,   5918,   6981,   6998, 
/* msg =   3823, deg =  6 */    156,   2727,   4049,   5842,   6871,   7874, 
/* msg =   3824, deg =  6 */    248,   1137,   1927,   4473,   5427,   6231, 
/* msg =   3825, deg =  6 */   1762,   2046,   5072,   5561,   7586,   7877, 
/* msg =   3826, deg =  6 */    210,   2725,   4284,   5020,   5383,   5598, 
/* msg =   3827, deg =  6 */    220,   2256,   2979,   3013,   5386,   5494, 
/* msg =   3828, deg =  6 */   2614,   3207,   4920,   5033,   6125,   6845, 
/* msg =   3829, deg =  6 */    453,    880,   1845,   3287,   4354,   7037, 
/* msg =   3830, deg =  6 */    276,   1928,   1983,   4083,   4463,   5656, 
/* msg =   3831, deg =  6 */   1997,   2436,   5048,   5275,   5795,   7821, 
/* msg =   3832, deg =  6 */     48,    493,   1876,   3883,   5337,   6461, 
/* msg =   3833, deg =  6 */   1235,   1607,   4103,   4239,   5510,   5725, 
/* msg =   3834, deg =  6 */   1567,   2110,   2827,   3050,   3810,   5835, 
/* msg =   3835, deg =  6 */    466,   3654,   4436,   4778,   7380,   7772, 
/* msg =   3836, deg =  6 */    424,   5029,   5060,   5967,   7566,   7816, 
/* msg =   3837, deg =  6 */   3043,   3372,   5463,   6001,   7796,   7972, 
/* msg =   3838, deg =  6 */   1312,   1973,   3705,   4903,   5455,   6587, 
/* msg =   3839, deg =  6 */   1337,   1351,   3729,   4695,   4707,   5492, 
/* msg =   3840, deg =  6 */    282,    584,   4784,   5682,   6675,   7529, 
/* msg =   3841, deg =  6 */   1365,   2029,   2737,   4280,   5932,   7755, 
/* msg =   3842, deg =  6 */    181,    396,   1659,   3451,   4966,   6038, 
/* msg =   3843, deg =  6 */   1238,   3723,   4535,   5844,   5949,   7292, 
/* msg =   3844, deg =  6 */   1002,   3569,   4726,   5155,   6250,   7227, 
/* msg =   3845, deg =  6 */    213,   2762,   5361,   5573,   7250,   7818, 
/* msg =   3846, deg =  6 */   2899,   3142,   5199,   6436,   7598,   7820, 
/* msg =   3847, deg =  6 */   3198,   4071,   4516,   6706,   6717,   7699, 
/* msg =   3848, deg =  6 */    575,   1035,   1858,   5846,   7416,   7506, 
/* msg =   3849, deg =  6 */   1517,   3991,   5026,   5597,   5645,   6205, 
/* msg =   3850, deg =  6 */    120,    193,   1472,   6368,   6485,   7469, 
/* msg =   3851, deg =  6 */    607,   1199,   3539,   7134,   7143,   7690, 
/* msg =   3852, deg =  6 */    908,   2585,   4409,   4960,   6668,   7604, 
/* msg =   3853, deg =  6 */   1084,   2471,   3337,   3722,   5515,   7841, 
/* msg =   3854, deg =  6 */   1891,   4442,   5367,   6486,   7635,   7792, 
/* msg =   3855, deg =  6 */   2070,   2930,   5629,   6128,   7647,   7988, 
/* msg =   3856, deg =  6 */   1125,   1174,   4953,   5733,   5836,   6583, 
/* msg =   3857, deg =  6 */   1552,   3850,   5038,   6568,   6935,   7657, 
/* msg =   3858, deg =  6 */   1935,   3767,   5697,   6430,   6454,   6993, 
/* msg =   3859, deg =  6 */    886,    926,   2315,   3246,   4543,   4675, 
/* msg =   3860, deg =  6 */   3634,   4504,   5106,   5470,   6842,   7373, 
/* msg =   3861, deg =  6 */    199,   1364,   3679,   6563,   7754,   7974, 
/* msg =   3862, deg =  6 */   1622,   1861,   2714,   3616,   4856,   6264, 
/* msg =   3863, deg =  6 */   1038,   3781,   4051,   6135,   6777,   7963, 
/* msg =   3864, deg =  6 */    658,   3348,   4007,   5134,   6429,   6987, 
/* msg =   3865, deg =  6 */     71,    248,   2014,   7015,   7234,   7493, 
/* msg =   3866, deg =  6 */   1027,   3284,   5534,   6464,   7601,   7610, 
/* msg =   3867, deg =  6 */   2179,   4111,   4702,   6144,   7366,   7786, 
/* msg =   3868, deg =  6 */    808,   1047,   2284,   2851,   3087,   5621, 
/* msg =   3869, deg =  6 */   2041,   2602,   2608,   3623,   7656,   7945, 
/* msg =   3870, deg =  6 */   1148,   4062,   4144,   5025,   5527,   7626, 
/* msg =   3871, deg =  6 */   1275,   2744,   3405,   5874,   6385,   7381, 
/* msg =   3872, deg =  6 */   1244,   3879,   4182,   5864,   7255,   7411, 
/* msg =   3873, deg =  6 */   1872,   2812,   3164,   4328,   5225,   6995, 
/* msg =   3874, deg =  6 */    583,   3099,   3744,   6292,   7592,   7604, 
/* msg =   3875, deg =  6 */   2183,   2719,   3784,   3901,   5911,   7067, 
/* msg =   3876, deg =  6 */   1495,   1502,   2853,   5396,   6339,   6383, 
/* msg =   3877, deg =  6 */   1397,   2962,   2967,   5666,   6354,   6870, 
/* msg =   3878, deg =  6 */    693,    947,   1023,   1203,   4276,   5605, 
/* msg =   3879, deg =  6 */   2988,   3958,   5061,   6295,   6415,   7157, 
/* msg =   3880, deg =  6 */     50,   2722,   3074,   5868,   7039,   7743, 
/* msg =   3881, deg =  6 */   1092,   2256,   4374,   6403,   6868,   7223, 
/* msg =   3882, deg =  6 */    465,   1100,   3132,   5030,   7097,   7545, 
/* msg =   3883, deg =  6 */   1885,   2108,   2991,   6101,   7285,   7675, 
/* msg =   3884, deg =  6 */     74,   1438,   2353,   4180,   6474,   7086, 
/* msg =   3885, deg =  6 */   2429,   2985,   3363,   4697,   4873,   6161, 
/* msg =   3886, deg =  6 */   1345,   1910,   4422,   4492,   6475,   7011, 
/* msg =   3887, deg =  6 */    665,   2845,   3406,   3465,   3566,   4047, 
/* msg =   3888, deg =  6 */    456,    584,    714,   3034,   4828,   6804, 
/* msg =   3889, deg =  6 */    423,   3527,   4520,   5512,   5721,   7850, 
/* msg =   3890, deg =  6 */    785,   1333,   1880,   3644,   5552,   7501, 
/* msg =   3891, deg =  6 */    695,   1068,   1984,   3852,   3932,   7481, 
/* msg =   3892, deg =  6 */    812,   1842,   4507,   6262,   6723,   7160, 
/* msg =   3893, deg =  6 */   1372,   1419,   2889,   6932,   7046,   7889, 
/* msg =   3894, deg =  6 */    235,   1436,   2039,   5962,   6451,   7073, 
/* msg =   3895, deg =  6 */     85,    286,   2952,   3148,   6871,   7925, 
/* msg =   3896, deg =  6 */    524,   2314,   2695,   3048,   3289,   4436, 
/* msg =   3897, deg =  6 */   1964,   2038,   3309,   3314,   5222,   7879, 
/* msg =   3898, deg =  6 */    611,    861,   1438,   3804,   4741,   7777, 
/* msg =   3899, deg =  6 */   1525,   2254,   5515,   6546,   6751,   7610, 
/* msg =   3900, deg =  6 */   1279,   2343,   3058,   3061,   3214,   7337, 
/* msg =   3901, deg =  6 */    293,   1840,   2476,   3453,   4599,   4914, 
/* msg =   3902, deg =  6 */   2294,   2405,   2410,   2859,   3496,   7539, 
/* msg =   3903, deg =  6 */    125,   1706,   2545,   4110,   4783,   7448, 
/* msg =   3904, deg =  6 */    245,    729,    967,   1138,   1792,   7888, 
/* msg =   3905, deg =  6 */   1290,   3504,   4023,   4131,   7060,   7123, 
/* msg =   3906, deg =  6 */    651,   2869,   3020,   4126,   5799,   7617, 
/* msg =   3907, deg =  6 */   3333,   4808,   6059,   7475,   7928,   7933, 
/* msg =   3908, deg =  6 */   2106,   3773,   4275,   4653,   5007,   7661, 
/* msg =   3909, deg =  6 */   2810,   3758,   4447,   6080,   6382,   6653, 
/* msg =   3910, deg =  6 */     17,     96,   1675,   3279,   7506,   7575, 
/* msg =   3911, deg =  6 */    689,   1243,   1489,   2954,   3189,   7545, 
/* msg =   3912, deg =  6 */   2738,   4581,   5945,   7042,   7134,   7951, 
/* msg =   3913, deg =  6 */   2145,   3000,   3878,   6301,   7421,   7422, 
/* msg =   3914, deg =  6 */    551,   1560,   1956,   1972,   5502,   6628, 
/* msg =   3915, deg =  6 */   1602,   1640,   1989,   2960,   3182,   5006, 
/* msg =   3916, deg =  6 */    587,    886,   3066,   3750,   5571,   6857, 
/* msg =   3917, deg =  6 */   1354,   3589,   5077,   5786,   6257,   6606, 
/* msg =   3918, deg =  6 */    835,   1524,   3202,   3525,   4815,   6621, 
/* msg =   3919, deg =  6 */   1242,   1612,   1806,   4296,   5001,   7198, 
/* msg =   3920, deg =  6 */    694,   3784,   4879,   5270,   5564,   6166, 
/* msg =   3921, deg =  6 */    792,   2296,   3694,   5241,   5670,   7240, 
/* msg =   3922, deg =  6 */   1923,   2035,   5620,   6245,   6674,   7269, 
/* msg =   3923, deg =  6 */   1085,   2562,   2796,   3833,   7497,   7568, 
/* msg =   3924, deg =  6 */   2808,   4257,   4714,   5984,   6147,   7118, 
/* msg =   3925, deg =  6 */     88,    571,   2763,   4499,   5080,   5477, 
/* msg =   3926, deg =  6 */   1562,   2180,   2224,   4638,   5086,   5388, 
/* msg =   3927, deg =  6 */     66,   4243,   4339,   4659,   4979,   6086, 
/* msg =   3928, deg =  6 */     56,   1009,   1499,   4248,   5794,   7034, 
/* msg =   3929, deg =  6 */   1329,   5388,   5449,   7529,   7623,   7996, 
/* msg =   3930, deg =  6 */   2601,   3968,   4153,   5342,   6622,   6771, 
/* msg =   3931, deg =  6 */   3870,   4545,   5120,   6094,   6467,   7693, 
/* msg =   3932, deg =  6 */   1810,   3073,   3864,   5965,   7461,   7983, 
/* msg =   3933, deg =  6 */   2711,   3286,   3552,   5781,   6449,   6989, 
/* msg =   3934, deg =  6 */    904,   2073,   2810,   2994,   3512,   6636, 
/* msg =   3935, deg =  6 */      2,    183,   1417,   1456,   5274,   5568, 
/* msg =   3936, deg =  6 */    187,   1205,   1758,   3789,   4960,   7371, 
/* msg =   3937, deg =  6 */   2215,   3587,   4272,   4631,   5839,   7892, 
/* msg =   3938, deg =  6 */   2077,   2787,   6145,   6260,   7259,   7795, 
/* msg =   3939, deg =  6 */    286,   2537,   2883,   3166,   3652,   6810, 
/* msg =   3940, deg =  6 */   2323,   2598,   2764,   4760,   5150,   5636, 
/* msg =   3941, deg =  6 */    567,   2277,   3102,   3953,   5283,   6630, 
/* msg =   3942, deg =  6 */    162,    974,   2436,   2897,   5134,   5560, 
/* msg =   3943, deg =  6 */   2240,   2487,   4212,   5261,   6522,   7571, 
/* msg =   3944, deg =  6 */   1455,   1485,   1754,   4416,   4732,   6003, 
/* msg =   3945, deg =  6 */    197,    490,   2308,   2795,   2986,   5329, 
/* msg =   3946, deg =  6 */    606,   1514,   2283,   2624,   3128,   3681, 
/* msg =   3947, deg =  6 */   2494,   2821,   4656,   4723,   6597,   7215, 
/* msg =   3948, deg =  6 */   1225,   2975,   4782,   5606,   6150,   7716, 
/* msg =   3949, deg =  6 */    334,    522,   1009,   3639,   3646,   6016, 
/* msg =   3950, deg =  6 */   1206,   2691,   4175,   4807,   4883,   6874, 
/* msg =   3951, deg =  6 */   2120,   4279,   4584,   4970,   5243,   7309, 
/* msg =   3952, deg =  6 */   1337,   1898,   3158,   3481,   4327,   4474, 
/* msg =   3953, deg =  6 */    135,   1668,   2746,   4829,   6731,   6921, 
/* msg =   3954, deg =  6 */   1335,   2236,   2734,   5255,   6948,   7544, 
/* msg =   3955, deg =  6 */    908,   2146,   2872,   3794,   4723,   5026, 
/* msg =   3956, deg =  6 */   2599,   2680,   4039,   4700,   7385,   7596, 
/* msg =   3957, deg =  6 */   6421,   6905,   6987,   7765,   7834,   7976, 
/* msg =   3958, deg =  6 */    691,   1445,   4900,   6015,   6998,   7743, 
/* msg =   3959, deg =  6 */    955,   1664,   4720,   5735,   7476,   7570, 
/* msg =   3960, deg =  6 */   1753,   3068,   3371,   3685,   3708,   4512, 
/* msg =   3961, deg =  6 */    230,   2470,   2838,   4176,   6416,   7052, 
/* msg =   3962, deg =  6 */    400,    982,   1746,   3851,   3933,   7891, 
/* msg =   3963, deg =  6 */   1078,   1809,   2132,   6096,   7474,   7791, 
/* msg =   3964, deg =  6 */   1460,   2139,   6730,   7080,   7177,   7855, 
/* msg =   3965, deg =  6 */    259,    264,    314,    745,   4117,   4676, 
/* msg =   3966, deg =  6 */   2002,   3188,   4210,   5291,   7569,   7770, 
/* msg =   3967, deg =  6 */   1061,   1732,   2188,   2475,   5234,   5590, 
/* msg =   3968, deg =  6 */   1642,   2702,   5195,   6519,   7750,   7810, 
/* msg =   3969, deg =  6 */   1774,   2807,   3328,   3650,   4266,   4538, 
/* msg =   3970, deg =  6 */    261,    819,   2495,   3646,   4072,   7870, 
/* msg =   3971, deg =  6 */    194,    616,   5204,   6593,   7224,   7384, 
/* msg =   3972, deg =  6 */   1123,   2829,   5479,   6843,   6942,   7562, 
/* msg =   3973, deg =  6 */    935,   3103,   4152,   4858,   5330,   7375, 
/* msg =   3974, deg =  6 */    291,   2701,   3561,   4756,   5624,   7102, 
/* msg =   3975, deg =  6 */    863,   2036,   2890,   4537,   6684,   7985, 
/* msg =   3976, deg =  6 */    548,   3599,   4616,   5923,   6190,   7764, 
/* msg =   3977, deg =  6 */   1436,   2375,   5791,   6745,   7149,   7790, 
/* msg =   3978, deg =  6 */    351,   1577,   1777,   4708,   5588,   6139, 
/* msg =   3979, deg =  6 */    857,    898,   4375,   5107,   5334,   6683, 
/* msg =   3980, deg =  6 */   1491,   1575,   5505,   5642,   5895,   6908, 
/* msg =   3981, deg =  6 */   2267,   2383,   2951,   2995,   5078,   5380, 
/* msg =   3982, deg =  6 */    899,   1677,   2094,   3829,   3893,   4267, 
/* msg =   3983, deg =  6 */   1012,   2026,   2354,   4853,   7091,   7963, 
/* msg =   3984, deg =  6 */   2970,   3456,   3473,   3479,   5499,   6258, 
/* msg =   3985, deg =  6 */    415,   1271,   1628,   3399,   4953,   5928, 
/* msg =   3986, deg =  6 */    889,   2305,   5720,   6397,   6687,   6853, 
/* msg =   3987, deg =  6 */    602,   1875,   2218,   4073,   7598,   7736, 
/* msg =   3988, deg =  6 */    254,   2816,   2939,   4537,   5112,   5473, 
/* msg =   3989, deg =  6 */   1677,   1896,   2020,   2226,   2728,   7771, 
/* msg =   3990, deg =  6 */      8,    360,   2275,   2344,   4279,   5773, 
/* msg =   3991, deg =  6 */    684,   1106,   1382,   2850,   7171,   7693, 
/* msg =   3992, deg =  6 */     38,   3098,   4471,   6153,   7004,   7280, 
/* msg =   3993, deg =  6 */    292,   2564,   2851,   5727,   6229,   7869, 
/* msg =   3994, deg =  6 */   1146,   1911,   3971,   4054,   4791,   5285, 
/* msg =   3995, deg =  6 */   1772,   2833,   3850,   5041,   5557,   7552, 
/* msg =   3996, deg =  6 */     32,    733,   4445,   4597,   5850,   5852, 
/* msg =   3997, deg =  6 */   1930,   3112,   3202,   3844,   5748,   6001, 
/* msg =   3998, deg =  6 */    413,    669,    766,   1457,   6383,   7018, 
/* msg =   3999, deg =  6 */    352,    413,   2223,   4577,   4662,   4736
};

